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Finding the Fourth Proportional to 32,706.52, 49,067.72 and 10,522

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Solution

The fourth proportional to 32,706.52, 49,067.72 and 10,522 is: 15,785.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,706.52 : 49,067.72 = 10,522 : x
  2. Step 2: Convert to fraction form
    32,706.52/49,067.72 = 10,522/x
  3. Step 3: Cross multiply
    32,706.52x = 49,067.72 × 10,522
  4. Step 4: Simplify right side
    32,706.52x = 516,290,549.84
  5. Step 5: Solve for x
    x = 516,290,549.84/32,706.52
  6. Step 6: Final answer
    x = 15,785.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.