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Finding the Fourth Proportional to 31,716.70, 47,510.46 and 15,026.14

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Solution

The fourth proportional to 31,716.70, 47,510.46 and 15,026.14 is: 22,508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,716.70 : 47,510.46 = 15,026.14 : x
  2. Step 2: Convert to fraction form
    31,716.70/47,510.46 = 15,026.14/x
  3. Step 3: Cross multiply
    31,716.70x = 47,510.46 × 15,026.14
  4. Step 4: Simplify right side
    31,716.70x = 713,898,823.42
  5. Step 5: Solve for x
    x = 713,898,823.42/31,716.70
  6. Step 6: Final answer
    x = 22,508.61

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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.