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Finding the Fourth Proportional to 47,937.54, 71,906.32 and 14,657.61

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Solution

The fourth proportional to 47,937.54, 71,906.32 and 14,657.61 is: 21,986.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,937.54 : 71,906.32 = 14,657.61 : x
  2. Step 2: Convert to fraction form
    47,937.54/71,906.32 = 14,657.61/x
  3. Step 3: Cross multiply
    47,937.54x = 71,906.32 × 14,657.61
  4. Step 4: Simplify right side
    47,937.54x = 1,053,974,795.10
  5. Step 5: Solve for x
    x = 1,053,974,795.10/47,937.54
  6. Step 6: Final answer
    x = 21,986.42

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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.