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Finding the Fourth Proportional to 31,337.01, 47,008.22 and 11,615.72

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Solution

The fourth proportional to 31,337.01, 47,008.22 and 11,615.72 is: 17,424.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,337.01 : 47,008.22 = 11,615.72 : x
  2. Step 2: Convert to fraction form
    31,337.01/47,008.22 = 11,615.72/x
  3. Step 3: Cross multiply
    31,337.01x = 47,008.22 × 11,615.72
  4. Step 4: Simplify right side
    31,337.01x = 546,034,028.10
  5. Step 5: Solve for x
    x = 546,034,028.10/31,337.01
  6. Step 6: Final answer
    x = 17,424.57

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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.