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Finding the Fourth Proportional to 31,443.53, 47,149.06 and 9,254.02

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Solution

The fourth proportional to 31,443.53, 47,149.06 and 9,254.02 is: 13,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,443.53 : 47,149.06 = 9,254.02 : x
  2. Step 2: Convert to fraction form
    31,443.53/47,149.06 = 9,254.02/x
  3. Step 3: Cross multiply
    31,443.53x = 47,149.06 × 9,254.02
  4. Step 4: Simplify right side
    31,443.53x = 436,318,344.22
  5. Step 5: Solve for x
    x = 436,318,344.22/31,443.53
  6. Step 6: Final answer
    x = 13,876.25

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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.