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Finding the Fourth Proportional to 34,382.60, 51,590.10 and 25,634.60

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Solution

The fourth proportional to 34,382.60, 51,590.10 and 25,634.60 is: 38,463.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,382.60 : 51,590.10 = 25,634.60 : x
  2. Step 2: Convert to fraction form
    34,382.60/51,590.10 = 25,634.60/x
  3. Step 3: Cross multiply
    34,382.60x = 51,590.10 × 25,634.60
  4. Step 4: Simplify right side
    34,382.60x = 1,322,491,577.46
  5. Step 5: Solve for x
    x = 1,322,491,577.46/34,382.60
  6. Step 6: Final answer
    x = 38,463.98

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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.