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Finding the Fourth Proportional to 83,541.92, 115,293.95 and 47,731.16

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Solution

The fourth proportional to 83,541.92, 115,293.95 and 47,731.16 is: 65,872.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,541.92 : 115,293.95 = 47,731.16 : x
  2. Step 2: Convert to fraction form
    83,541.92/115,293.95 = 47,731.16/x
  3. Step 3: Cross multiply
    83,541.92x = 115,293.95 × 47,731.16
  4. Step 4: Simplify right side
    83,541.92x = 5,503,113,398.01
  5. Step 5: Solve for x
    x = 5,503,113,398.01/83,541.92
  6. Step 6: Final answer
    x = 65,872.48

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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.