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Finding the Fourth Proportional to 83,377.92, 115,038.72 and 53,587.20

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Solution

The fourth proportional to 83,377.92, 115,038.72 and 53,587.20 is: 73,935.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,377.92 : 115,038.72 = 53,587.20 : x
  2. Step 2: Convert to fraction form
    83,377.92/115,038.72 = 53,587.20/x
  3. Step 3: Cross multiply
    83,377.92x = 115,038.72 × 53,587.20
  4. Step 4: Simplify right side
    83,377.92x = 6,164,602,896.38
  5. Step 5: Solve for x
    x = 6,164,602,896.38/83,377.92
  6. Step 6: Final answer
    x = 73,935.68

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Why These Related Problems?

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