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Finding the Fourth Proportional to 83,162.50, 114,736.40 and 47,344.91

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Solution

The fourth proportional to 83,162.50, 114,736.40 and 47,344.91 is: 65,320.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,162.50 : 114,736.40 = 47,344.91 : x
  2. Step 2: Convert to fraction form
    83,162.50/114,736.40 = 47,344.91/x
  3. Step 3: Cross multiply
    83,162.50x = 114,736.40 × 47,344.91
  4. Step 4: Simplify right side
    83,162.50x = 5,432,183,898.86
  5. Step 5: Solve for x
    x = 5,432,183,898.86/83,162.50
  6. Step 6: Final answer
    x = 65,320.11

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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.