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Finding the Fourth Proportional to 31,634.08, 47,465.04 and 15,006.16

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Solution

The fourth proportional to 31,634.08, 47,465.04 and 15,006.16 is: 22,515.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,634.08 : 47,465.04 = 15,006.16 : x
  2. Step 2: Convert to fraction form
    31,634.08/47,465.04 = 15,006.16/x
  3. Step 3: Cross multiply
    31,634.08x = 47,465.04 × 15,006.16
  4. Step 4: Simplify right side
    31,634.08x = 712,267,984.65
  5. Step 5: Solve for x
    x = 712,267,984.65/31,634.08
  6. Step 6: Final answer
    x = 22,515.84

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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.