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Finding the Fourth Proportional to 31,613.36, 47,415.78 and 9,422.60

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Solution

The fourth proportional to 31,613.36, 47,415.78 and 9,422.60 is: 14,132.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,613.36 : 47,415.78 = 9,422.60 : x
  2. Step 2: Convert to fraction form
    31,613.36/47,415.78 = 9,422.60/x
  3. Step 3: Cross multiply
    31,613.36x = 47,415.78 × 9,422.60
  4. Step 4: Simplify right side
    31,613.36x = 446,779,691.55
  5. Step 5: Solve for x
    x = 446,779,691.55/31,613.36
  6. Step 6: Final answer
    x = 14,132.63

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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.