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Finding the Fourth Proportional to 31,704.69, 47,557.50 and 15,066.42

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Solution

The fourth proportional to 31,704.69, 47,557.50 and 15,066.42 is: 22,599.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,704.69 : 47,557.50 = 15,066.42 : x
  2. Step 2: Convert to fraction form
    31,704.69/47,557.50 = 15,066.42/x
  3. Step 3: Cross multiply
    31,704.69x = 47,557.50 × 15,066.42
  4. Step 4: Simplify right side
    31,704.69x = 716,521,269.15
  5. Step 5: Solve for x
    x = 716,521,269.15/31,704.69
  6. Step 6: Final answer
    x = 22,599.85

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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.