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Finding the Fourth Proportional to 56,952.16, 78,593.56 and 31,460.20

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Solution

The fourth proportional to 56,952.16, 78,593.56 and 31,460.20 is: 43,414.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,952.16 : 78,593.56 = 31,460.20 : x
  2. Step 2: Convert to fraction form
    56,952.16/78,593.56 = 31,460.20/x
  3. Step 3: Cross multiply
    56,952.16x = 78,593.56 × 31,460.20
  4. Step 4: Simplify right side
    56,952.16x = 2,472,569,116.31
  5. Step 5: Solve for x
    x = 2,472,569,116.31/56,952.16
  6. Step 6: Final answer
    x = 43,414.84

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