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Finding the Fourth Proportional to 47,473.62, 71,144.74 and 40,416.90

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Solution

The fourth proportional to 47,473.62, 71,144.74 and 40,416.90 is: 60,569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,473.62 : 71,144.74 = 40,416.90 : x
  2. Step 2: Convert to fraction form
    47,473.62/71,144.74 = 40,416.90/x
  3. Step 3: Cross multiply
    47,473.62x = 71,144.74 × 40,416.90
  4. Step 4: Simplify right side
    47,473.62x = 2,875,449,842.11
  5. Step 5: Solve for x
    x = 2,875,449,842.11/47,473.62
  6. Step 6: Final answer
    x = 60,569.42

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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.