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Finding the Fourth Proportional to 31,706.39, 47,565.06 and 10,648.46

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Solution

The fourth proportional to 31,706.39, 47,565.06 and 10,648.46 is: 15,974.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,706.39 : 47,565.06 = 10,648.46 : x
  2. Step 2: Convert to fraction form
    31,706.39/47,565.06 = 10,648.46/x
  3. Step 3: Cross multiply
    31,706.39x = 47,565.06 × 10,648.46
  4. Step 4: Simplify right side
    31,706.39x = 506,494,638.81
  5. Step 5: Solve for x
    x = 506,494,638.81/31,706.39
  6. Step 6: Final answer
    x = 15,974.53

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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.