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Finding the Fourth Proportional to 31,635.51, 47,463.14 and 9,449.76

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Solution

The fourth proportional to 31,635.51, 47,463.14 and 9,449.76 is: 14,177.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,635.51 : 47,463.14 = 9,449.76 : x
  2. Step 2: Convert to fraction form
    31,635.51/47,463.14 = 9,449.76/x
  3. Step 3: Cross multiply
    31,635.51x = 47,463.14 × 9,449.76
  4. Step 4: Simplify right side
    31,635.51x = 448,515,293.93
  5. Step 5: Solve for x
    x = 448,515,293.93/31,635.51
  6. Step 6: Final answer
    x = 14,177.59

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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.