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Finding the Fourth Proportional to 31,342.72, 47,013.12 and 11,620.80

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Solution

The fourth proportional to 31,342.72, 47,013.12 and 11,620.80 is: 17,430.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,342.72 : 47,013.12 = 11,620.80 : x
  2. Step 2: Convert to fraction form
    31,342.72/47,013.12 = 11,620.80/x
  3. Step 3: Cross multiply
    31,342.72x = 47,013.12 × 11,620.80
  4. Step 4: Simplify right side
    31,342.72x = 546,330,064.90
  5. Step 5: Solve for x
    x = 546,330,064.90/31,342.72
  6. Step 6: Final answer
    x = 17,430.84

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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.