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Finding the Fourth Proportional to 31,637.90, 43,658.10 and 17,489.63

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Solution

The fourth proportional to 31,637.90, 43,658.10 and 17,489.63 is: 24,134.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,637.90 : 43,658.10 = 17,489.63 : x
  2. Step 2: Convert to fraction form
    31,637.90/43,658.10 = 17,489.63/x
  3. Step 3: Cross multiply
    31,637.90x = 43,658.10 × 17,489.63
  4. Step 4: Simplify right side
    31,637.90x = 763,563,797.21
  5. Step 5: Solve for x
    x = 763,563,797.21/31,637.90
  6. Step 6: Final answer
    x = 24,134.47

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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.