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Finding the Fourth Proportional to 51,635.88, 77,456.70 and 14,697

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Solution

The fourth proportional to 51,635.88, 77,456.70 and 14,697 is: 22,046.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,635.88 : 77,456.70 = 14,697 : x
  2. Step 2: Convert to fraction form
    51,635.88/77,456.70 = 14,697/x
  3. Step 3: Cross multiply
    51,635.88x = 77,456.70 × 14,697
  4. Step 4: Simplify right side
    51,635.88x = 1,138,381,119.90
  5. Step 5: Solve for x
    x = 1,138,381,119.90/51,635.88
  6. Step 6: Final answer
    x = 22,046.32

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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.