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Finding the Fourth Proportional to 31,706.70, 47,560.50 and 15,068.42

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Solution

The fourth proportional to 31,706.70, 47,560.50 and 15,068.42 is: 22,602.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,706.70 : 47,560.50 = 15,068.42 : x
  2. Step 2: Convert to fraction form
    31,706.70/47,560.50 = 15,068.42/x
  3. Step 3: Cross multiply
    31,706.70x = 47,560.50 × 15,068.42
  4. Step 4: Simplify right side
    31,706.70x = 716,661,589.41
  5. Step 5: Solve for x
    x = 716,661,589.41/31,706.70
  6. Step 6: Final answer
    x = 22,602.84

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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.