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Finding the Fourth Proportional to 52,412.71, 72,325.87 and 29,752.16

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Solution

The fourth proportional to 52,412.71, 72,325.87 and 29,752.16 is: 41,055.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,412.71 : 72,325.87 = 29,752.16 : x
  2. Step 2: Convert to fraction form
    52,412.71/72,325.87 = 29,752.16/x
  3. Step 3: Cross multiply
    52,412.71x = 72,325.87 × 29,752.16
  4. Step 4: Simplify right side
    52,412.71x = 2,151,850,856.38
  5. Step 5: Solve for x
    x = 2,151,850,856.38/52,412.71
  6. Step 6: Final answer
    x = 41,055.90

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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.