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Finding the Fourth Proportional to 83,456.84, 125,146.38 and 48,406.52

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Solution

The fourth proportional to 83,456.84, 125,146.38 and 48,406.52 is: 72,587.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,456.84 : 125,146.38 = 48,406.52 : x
  2. Step 2: Convert to fraction form
    83,456.84/125,146.38 = 48,406.52/x
  3. Step 3: Cross multiply
    83,456.84x = 125,146.38 × 48,406.52
  4. Step 4: Simplify right side
    83,456.84x = 6,057,900,746.40
  5. Step 5: Solve for x
    x = 6,057,900,746.40/83,456.84
  6. Step 6: Final answer
    x = 72,587.23

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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.