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Finding the Fourth Proportional to 32,509.60, 48,764.40 and 20,043.70

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Solution

The fourth proportional to 32,509.60, 48,764.40 and 20,043.70 is: 30,065.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,509.60 : 48,764.40 = 20,043.70 : x
  2. Step 2: Convert to fraction form
    32,509.60/48,764.40 = 20,043.70/x
  3. Step 3: Cross multiply
    32,509.60x = 48,764.40 × 20,043.70
  4. Step 4: Simplify right side
    32,509.60x = 977,419,004.28
  5. Step 5: Solve for x
    x = 977,419,004.28/32,509.60
  6. Step 6: Final answer
    x = 30,065.55

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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.