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Finding the Fourth Proportional to 83,324.96, 124,931.82 and 45,902.96

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Solution

The fourth proportional to 83,324.96, 124,931.82 and 45,902.96 is: 68,823.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,324.96 : 124,931.82 = 45,902.96 : x
  2. Step 2: Convert to fraction form
    83,324.96/124,931.82 = 45,902.96/x
  3. Step 3: Cross multiply
    83,324.96x = 124,931.82 × 45,902.96
  4. Step 4: Simplify right side
    83,324.96x = 5,734,740,336.19
  5. Step 5: Solve for x
    x = 5,734,740,336.19/83,324.96
  6. Step 6: Final answer
    x = 68,823.80

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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.