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Finding the Fourth Proportional to 31,706.06, 47,564.55 and 10,648.13

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Solution

The fourth proportional to 31,706.06, 47,564.55 and 10,648.13 is: 15,974.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,706.06 : 47,564.55 = 10,648.13 : x
  2. Step 2: Convert to fraction form
    31,706.06/47,564.55 = 10,648.13/x
  3. Step 3: Cross multiply
    31,706.06x = 47,564.55 × 10,648.13
  4. Step 4: Simplify right side
    31,706.06x = 506,473,511.79
  5. Step 5: Solve for x
    x = 506,473,511.79/31,706.06
  6. Step 6: Final answer
    x = 15,974.03

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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.