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Finding the Fourth Proportional to 31,497.51, 47,251.27 and 10,438.29

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Solution

The fourth proportional to 31,497.51, 47,251.27 and 10,438.29 is: 15,659.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,497.51 : 47,251.27 = 10,438.29 : x
  2. Step 2: Convert to fraction form
    31,497.51/47,251.27 = 10,438.29/x
  3. Step 3: Cross multiply
    31,497.51x = 47,251.27 × 10,438.29
  4. Step 4: Simplify right side
    31,497.51x = 493,222,634.43
  5. Step 5: Solve for x
    x = 493,222,634.43/31,497.51
  6. Step 6: Final answer
    x = 15,659.10

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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.