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Finding the Fourth Proportional to 31,672.53, 47,495.43 and 9,489.06

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Solution

The fourth proportional to 31,672.53, 47,495.43 and 9,489.06 is: 14,229.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,672.53 : 47,495.43 = 9,489.06 : x
  2. Step 2: Convert to fraction form
    31,672.53/47,495.43 = 9,489.06/x
  3. Step 3: Cross multiply
    31,672.53x = 47,495.43 × 9,489.06
  4. Step 4: Simplify right side
    31,672.53x = 450,686,985.00
  5. Step 5: Solve for x
    x = 450,686,985.00/31,672.53
  6. Step 6: Final answer
    x = 14,229.59

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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.