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Finding the Fourth Proportional to 83,118, 124,683.52 and 27,714

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Solution

The fourth proportional to 83,118, 124,683.52 and 27,714 is: 41,573.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,118 : 124,683.52 = 27,714 : x
  2. Step 2: Convert to fraction form
    83,118/124,683.52 = 27,714/x
  3. Step 3: Cross multiply
    83,118x = 124,683.52 × 27,714
  4. Step 4: Simplify right side
    83,118x = 3,455,479,073.28
  5. Step 5: Solve for x
    x = 3,455,479,073.28/83,118
  6. Step 6: Final answer
    x = 41,573.17

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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.