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Finding the Fourth Proportional to 31,506.62, 47,264.72 and 10,725.26

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Solution

The fourth proportional to 31,506.62, 47,264.72 and 10,725.26 is: 16,089.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,506.62 : 47,264.72 = 10,725.26 : x
  2. Step 2: Convert to fraction form
    31,506.62/47,264.72 = 10,725.26/x
  3. Step 3: Cross multiply
    31,506.62x = 47,264.72 × 10,725.26
  4. Step 4: Simplify right side
    31,506.62x = 506,926,120.88
  5. Step 5: Solve for x
    x = 506,926,120.88/31,506.62
  6. Step 6: Final answer
    x = 16,089.51

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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.