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Finding the Fourth Proportional to 31,710.34, 43,760.16 and 18,281.53

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Solution

The fourth proportional to 31,710.34, 43,760.16 and 18,281.53 is: 25,228.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,710.34 : 43,760.16 = 18,281.53 : x
  2. Step 2: Convert to fraction form
    31,710.34/43,760.16 = 18,281.53/x
  3. Step 3: Cross multiply
    31,710.34x = 43,760.16 × 18,281.53
  4. Step 4: Simplify right side
    31,710.34x = 800,002,677.84
  5. Step 5: Solve for x
    x = 800,002,677.84/31,710.34
  6. Step 6: Final answer
    x = 25,228.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.