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Finding the Fourth Proportional to 56,279.68, 77,665 and 31,129.16

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Solution

The fourth proportional to 56,279.68, 77,665 and 31,129.16 is: 42,957.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,279.68 : 77,665 = 31,129.16 : x
  2. Step 2: Convert to fraction form
    56,279.68/77,665 = 31,129.16/x
  3. Step 3: Cross multiply
    56,279.68x = 77,665 × 31,129.16
  4. Step 4: Simplify right side
    56,279.68x = 2,417,646,211.40
  5. Step 5: Solve for x
    x = 2,417,646,211.40/56,279.68
  6. Step 6: Final answer
    x = 42,957.71

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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.