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Finding the Fourth Proportional to 31,517.76, 47,281.68 and 10,740

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Solution

The fourth proportional to 31,517.76, 47,281.68 and 10,740 is: 16,111.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,517.76 : 47,281.68 = 10,740 : x
  2. Step 2: Convert to fraction form
    31,517.76/47,281.68 = 10,740/x
  3. Step 3: Cross multiply
    31,517.76x = 47,281.68 × 10,740
  4. Step 4: Simplify right side
    31,517.76x = 507,805,243.20
  5. Step 5: Solve for x
    x = 507,805,243.20/31,517.76
  6. Step 6: Final answer
    x = 16,111.72

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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.