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Finding the Fourth Proportional to 57,042.63, 78,718.77 and 31,892.13

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Solution

The fourth proportional to 57,042.63, 78,718.77 and 31,892.13 is: 44,011.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,042.63 : 78,718.77 = 31,892.13 : x
  2. Step 2: Convert to fraction form
    57,042.63/78,718.77 = 31,892.13/x
  3. Step 3: Cross multiply
    57,042.63x = 78,718.77 × 31,892.13
  4. Step 4: Simplify right side
    57,042.63x = 2,510,509,246.28
  5. Step 5: Solve for x
    x = 2,510,509,246.28/57,042.63
  6. Step 6: Final answer
    x = 44,011.11

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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.