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Finding the Fourth Proportional to 52,343.10, 72,232.02 and 28,470.78

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Solution

The fourth proportional to 52,343.10, 72,232.02 and 28,470.78 is: 39,288.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,343.10 : 72,232.02 = 28,470.78 : x
  2. Step 2: Convert to fraction form
    52,343.10/72,232.02 = 28,470.78/x
  3. Step 3: Cross multiply
    52,343.10x = 72,232.02 × 28,470.78
  4. Step 4: Simplify right side
    52,343.10x = 2,056,501,950.38
  5. Step 5: Solve for x
    x = 2,056,501,950.38/52,343.10
  6. Step 6: Final answer
    x = 39,288.88

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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.