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Finding the Fourth Proportional to 31,653.62, 47,503.76 and 15,013.70

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Solution

The fourth proportional to 31,653.62, 47,503.76 and 15,013.70 is: 22,531.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,653.62 : 47,503.76 = 15,013.70 : x
  2. Step 2: Convert to fraction form
    31,653.62/47,503.76 = 15,013.70/x
  3. Step 3: Cross multiply
    31,653.62x = 47,503.76 × 15,013.70
  4. Step 4: Simplify right side
    31,653.62x = 713,207,067.06
  5. Step 5: Solve for x
    x = 713,207,067.06/31,653.62
  6. Step 6: Final answer
    x = 22,531.61

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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.