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Finding the Fourth Proportional to 83,432.56, 115,044.69 and 53,169.97

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Solution

The fourth proportional to 83,432.56, 115,044.69 and 53,169.97 is: 73,315.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,432.56 : 115,044.69 = 53,169.97 : x
  2. Step 2: Convert to fraction form
    83,432.56/115,044.69 = 53,169.97/x
  3. Step 3: Cross multiply
    83,432.56x = 115,044.69 × 53,169.97
  4. Step 4: Simplify right side
    83,432.56x = 6,116,922,715.96
  5. Step 5: Solve for x
    x = 6,116,922,715.96/83,432.56
  6. Step 6: Final answer
    x = 73,315.77

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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.