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Finding the Fourth Proportional to 83,688.38, 115,432.63 and 53,460.27

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Solution

The fourth proportional to 83,688.38, 115,432.63 and 53,460.27 is: 73,738.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,688.38 : 115,432.63 = 53,460.27 : x
  2. Step 2: Convert to fraction form
    83,688.38/115,432.63 = 53,460.27/x
  3. Step 3: Cross multiply
    83,688.38x = 115,432.63 × 53,460.27
  4. Step 4: Simplify right side
    83,688.38x = 6,171,059,566.61
  5. Step 5: Solve for x
    x = 6,171,059,566.61/83,688.38
  6. Step 6: Final answer
    x = 73,738.55

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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.