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Finding the Fourth Proportional to 83,714.70, 125,532.45 and 48,665.10

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Solution

The fourth proportional to 83,714.70, 125,532.45 and 48,665.10 is: 72,974.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,714.70 : 125,532.45 = 48,665.10 : x
  2. Step 2: Convert to fraction form
    83,714.70/125,532.45 = 48,665.10/x
  3. Step 3: Cross multiply
    83,714.70x = 125,532.45 × 48,665.10
  4. Step 4: Simplify right side
    83,714.70x = 6,109,049,232.50
  5. Step 5: Solve for x
    x = 6,109,049,232.50/83,714.70
  6. Step 6: Final answer
    x = 72,974.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.