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Finding the Fourth Proportional to 31,656.33, 47,468.70 and 10,589.04

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Solution

The fourth proportional to 31,656.33, 47,468.70 and 10,589.04 is: 15,878.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,656.33 : 47,468.70 = 10,589.04 : x
  2. Step 2: Convert to fraction form
    31,656.33/47,468.70 = 10,589.04/x
  3. Step 3: Cross multiply
    31,656.33x = 47,468.70 × 10,589.04
  4. Step 4: Simplify right side
    31,656.33x = 502,647,963.05
  5. Step 5: Solve for x
    x = 502,647,963.05/31,656.33
  6. Step 6: Final answer
    x = 15,878.28

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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.