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Finding the Fourth Proportional to 32,977,203.60, 49,465,805.40 and 24,367,859.40

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Solution

The fourth proportional to 32,977,203.60, 49,465,805.40 and 24,367,859.40 is: 36,551,789.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,977,203.60 : 49,465,805.40 = 24,367,859.40 : x
  2. Step 2: Convert to fraction form
    32,977,203.60/49,465,805.40 = 24,367,859.40/x
  3. Step 3: Cross multiply
    32,977,203.60x = 49,465,805.40 × 24,367,859.40
  4. Step 4: Simplify right side
    32,977,203.60x = 1,205,375,791,094,960.75
  5. Step 5: Solve for x
    x = 1,205,375,791,094,960.75/32,977,203.60
  6. Step 6: Final answer
    x = 36,551,789.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.