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Finding the Fourth Proportional to 83,647.63, 125,397.54 and 64,013.84

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Solution

The fourth proportional to 83,647.63, 125,397.54 and 64,013.84 is: 95,964.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,647.63 : 125,397.54 = 64,013.84 : x
  2. Step 2: Convert to fraction form
    83,647.63/125,397.54 = 64,013.84/x
  3. Step 3: Cross multiply
    83,647.63x = 125,397.54 × 64,013.84
  4. Step 4: Simplify right side
    83,647.63x = 8,027,177,821.90
  5. Step 5: Solve for x
    x = 8,027,177,821.90/83,647.63
  6. Step 6: Final answer
    x = 95,964.20

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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.