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Finding the Fourth Proportional to 56,605.39, 78,116.24 and 31,114.11

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Solution

The fourth proportional to 56,605.39, 78,116.24 and 31,114.11 is: 42,937.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,605.39 : 78,116.24 = 31,114.11 : x
  2. Step 2: Convert to fraction form
    56,605.39/78,116.24 = 31,114.11/x
  3. Step 3: Cross multiply
    56,605.39x = 78,116.24 × 31,114.11
  4. Step 4: Simplify right side
    56,605.39x = 2,430,517,284.15
  5. Step 5: Solve for x
    x = 2,430,517,284.15/56,605.39
  6. Step 6: Final answer
    x = 42,937.91

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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.