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Finding the Fourth Proportional to 52,359.86, 72,250.29 and 29,697.14

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Solution

The fourth proportional to 52,359.86, 72,250.29 and 29,697.14 is: 40,978.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,359.86 : 72,250.29 = 29,697.14 : x
  2. Step 2: Convert to fraction form
    52,359.86/72,250.29 = 29,697.14/x
  3. Step 3: Cross multiply
    52,359.86x = 72,250.29 × 29,697.14
  4. Step 4: Simplify right side
    52,359.86x = 2,145,626,977.17
  5. Step 5: Solve for x
    x = 2,145,626,977.17/52,359.86
  6. Step 6: Final answer
    x = 40,978.47

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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.