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Finding the Fourth Proportional to 31,342.16, 47,013.24 and 7,649.66

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Solution

The fourth proportional to 31,342.16, 47,013.24 and 7,649.66 is: 11,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,342.16 : 47,013.24 = 7,649.66 : x
  2. Step 2: Convert to fraction form
    31,342.16/47,013.24 = 7,649.66/x
  3. Step 3: Cross multiply
    31,342.16x = 47,013.24 × 7,649.66
  4. Step 4: Simplify right side
    31,342.16x = 359,635,066.43
  5. Step 5: Solve for x
    x = 359,635,066.43/31,342.16
  6. Step 6: Final answer
    x = 11,474.48

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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.