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Finding the Fourth Proportional to 47,454.61, 71,191.02 and 15,874.63

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Solution

The fourth proportional to 47,454.61, 71,191.02 and 15,874.63 is: 23,814.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,454.61 : 71,191.02 = 15,874.63 : x
  2. Step 2: Convert to fraction form
    47,454.61/71,191.02 = 15,874.63/x
  3. Step 3: Cross multiply
    47,454.61x = 71,191.02 × 15,874.63
  4. Step 4: Simplify right side
    47,454.61x = 1,130,131,101.82
  5. Step 5: Solve for x
    x = 1,130,131,101.82/47,454.61
  6. Step 6: Final answer
    x = 23,814.99

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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.