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Finding the Fourth Proportional to 47,416.50, 71,124.75 and 14,159.92

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Solution

The fourth proportional to 47,416.50, 71,124.75 and 14,159.92 is: 21,239.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,416.50 : 71,124.75 = 14,159.92 : x
  2. Step 2: Convert to fraction form
    47,416.50/71,124.75 = 14,159.92/x
  3. Step 3: Cross multiply
    47,416.50x = 71,124.75 × 14,159.92
  4. Step 4: Simplify right side
    47,416.50x = 1,007,120,770.02
  5. Step 5: Solve for x
    x = 1,007,120,770.02/47,416.50
  6. Step 6: Final answer
    x = 21,239.88

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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.