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Finding the Fourth Proportional to 31,816.50, 47,732.04 and 11,040

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Solution

The fourth proportional to 31,816.50, 47,732.04 and 11,040 is: 16,562.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,816.50 : 47,732.04 = 11,040 : x
  2. Step 2: Convert to fraction form
    31,816.50/47,732.04 = 11,040/x
  3. Step 3: Cross multiply
    31,816.50x = 47,732.04 × 11,040
  4. Step 4: Simplify right side
    31,816.50x = 526,961,721.60
  5. Step 5: Solve for x
    x = 526,961,721.60/31,816.50
  6. Step 6: Final answer
    x = 16,562.53

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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.