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Finding the Fourth Proportional to 83,894.35, 125,660.98 and 39,454.51

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Solution

The fourth proportional to 83,894.35, 125,660.98 and 39,454.51 is: 59,096.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,894.35 : 125,660.98 = 39,454.51 : x
  2. Step 2: Convert to fraction form
    83,894.35/125,660.98 = 39,454.51/x
  3. Step 3: Cross multiply
    83,894.35x = 125,660.98 × 39,454.51
  4. Step 4: Simplify right side
    83,894.35x = 4,957,892,392.02
  5. Step 5: Solve for x
    x = 4,957,892,392.02/83,894.35
  6. Step 6: Final answer
    x = 59,096.86

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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.