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Finding the Fourth Proportional to 83,302.76, 124,822.92 and 45,807.14

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Solution

The fourth proportional to 83,302.76, 124,822.92 and 45,807.14 is: 68,638.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,302.76 : 124,822.92 = 45,807.14 : x
  2. Step 2: Convert to fraction form
    83,302.76/124,822.92 = 45,807.14/x
  3. Step 3: Cross multiply
    83,302.76x = 124,822.92 × 45,807.14
  4. Step 4: Simplify right side
    83,302.76x = 5,717,780,971.65
  5. Step 5: Solve for x
    x = 5,717,780,971.65/83,302.76
  6. Step 6: Final answer
    x = 68,638.55

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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.