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Finding the Fourth Proportional to 32,631, 45,031.14 and 17,727

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Solution

The fourth proportional to 32,631, 45,031.14 and 17,727 is: 24,463.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,631 : 45,031.14 = 17,727 : x
  2. Step 2: Convert to fraction form
    32,631/45,031.14 = 17,727/x
  3. Step 3: Cross multiply
    32,631x = 45,031.14 × 17,727
  4. Step 4: Simplify right side
    32,631x = 798,267,018.78
  5. Step 5: Solve for x
    x = 798,267,018.78/32,631
  6. Step 6: Final answer
    x = 24,463.46

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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.