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Finding the Fourth Proportional to 31,416, 43,354.17 and 17,987.46

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Solution

The fourth proportional to 31,416, 43,354.17 and 17,987.46 is: 24,822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,416 : 43,354.17 = 17,987.46 : x
  2. Step 2: Convert to fraction form
    31,416/43,354.17 = 17,987.46/x
  3. Step 3: Cross multiply
    31,416x = 43,354.17 × 17,987.46
  4. Step 4: Simplify right side
    31,416x = 779,831,398.71
  5. Step 5: Solve for x
    x = 779,831,398.71/31,416
  6. Step 6: Final answer
    x = 24,822.75

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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.