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Finding the Fourth Proportional to 47,381.76, 71,069.76 and 14,101.92

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Solution

The fourth proportional to 47,381.76, 71,069.76 and 14,101.92 is: 21,152.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,381.76 : 71,069.76 = 14,101.92 : x
  2. Step 2: Convert to fraction form
    47,381.76/71,069.76 = 14,101.92/x
  3. Step 3: Cross multiply
    47,381.76x = 71,069.76 × 14,101.92
  4. Step 4: Simplify right side
    47,381.76x = 1,002,220,069.94
  5. Step 5: Solve for x
    x = 1,002,220,069.94/47,381.76
  6. Step 6: Final answer
    x = 21,152.02

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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.