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Finding the Fourth Proportional to 51,508.87, 77,250.82 and 14,069.12

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Solution

The fourth proportional to 51,508.87, 77,250.82 and 14,069.12 is: 21,100.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,508.87 : 77,250.82 = 14,069.12 : x
  2. Step 2: Convert to fraction form
    51,508.87/77,250.82 = 14,069.12/x
  3. Step 3: Cross multiply
    51,508.87x = 77,250.82 × 14,069.12
  4. Step 4: Simplify right side
    51,508.87x = 1,086,850,828.38
  5. Step 5: Solve for x
    x = 1,086,850,828.38/51,508.87
  6. Step 6: Final answer
    x = 21,100.27

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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.