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Finding the Fourth Proportional to 83,151.92, 114,749.76 and 47,341.92

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Solution

The fourth proportional to 83,151.92, 114,749.76 and 47,341.92 is: 65,331.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,151.92 : 114,749.76 = 47,341.92 : x
  2. Step 2: Convert to fraction form
    83,151.92/114,749.76 = 47,341.92/x
  3. Step 3: Cross multiply
    83,151.92x = 114,749.76 × 47,341.92
  4. Step 4: Simplify right side
    83,151.92x = 5,432,473,957.94
  5. Step 5: Solve for x
    x = 5,432,473,957.94/83,151.92
  6. Step 6: Final answer
    x = 65,331.91

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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.