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Finding the Fourth Proportional to 71,498.14, 98,671.90 and 41,288.99

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Solution

The fourth proportional to 71,498.14, 98,671.90 and 41,288.99 is: 56,981.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,498.14 : 98,671.90 = 41,288.99 : x
  2. Step 2: Convert to fraction form
    71,498.14/98,671.90 = 41,288.99/x
  3. Step 3: Cross multiply
    71,498.14x = 98,671.90 × 41,288.99
  4. Step 4: Simplify right side
    71,498.14x = 4,074,063,092.38
  5. Step 5: Solve for x
    x = 4,074,063,092.38/71,498.14
  6. Step 6: Final answer
    x = 56,981.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.