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Finding the Fourth Proportional to 101,762.13, 140,429.65 and 56,432.80

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Solution

The fourth proportional to 101,762.13, 140,429.65 and 56,432.80 is: 77,876.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,762.13 : 140,429.65 = 56,432.80 : x
  2. Step 2: Convert to fraction form
    101,762.13/140,429.65 = 56,432.80/x
  3. Step 3: Cross multiply
    101,762.13x = 140,429.65 × 56,432.80
  4. Step 4: Simplify right side
    101,762.13x = 7,924,838,352.52
  5. Step 5: Solve for x
    x = 7,924,838,352.52/101,762.13
  6. Step 6: Final answer
    x = 77,876.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.