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Finding the Fourth Proportional to 83,046.40, 124,569.60 and 45,721.60

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Solution

The fourth proportional to 83,046.40, 124,569.60 and 45,721.60 is: 68,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,046.40 : 124,569.60 = 45,721.60 : x
  2. Step 2: Convert to fraction form
    83,046.40/124,569.60 = 45,721.60/x
  3. Step 3: Cross multiply
    83,046.40x = 124,569.60 × 45,721.60
  4. Step 4: Simplify right side
    83,046.40x = 5,695,521,423.36
  5. Step 5: Solve for x
    x = 5,695,521,423.36/83,046.40
  6. Step 6: Final answer
    x = 68,582.40

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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.