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Finding the Fourth Proportional to 73,658.20, 110,525.70 and 32,109.40

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Solution

The fourth proportional to 73,658.20, 110,525.70 and 32,109.40 is: 48,180.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,658.20 : 110,525.70 = 32,109.40 : x
  2. Step 2: Convert to fraction form
    73,658.20/110,525.70 = 32,109.40/x
  3. Step 3: Cross multiply
    73,658.20x = 110,525.70 × 32,109.40
  4. Step 4: Simplify right side
    73,658.20x = 3,548,913,911.58
  5. Step 5: Solve for x
    x = 3,548,913,911.58/73,658.20
  6. Step 6: Final answer
    x = 48,180.84

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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.