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Finding the Fourth Proportional to 83,114, 124,677.52 and 27,710

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Solution

The fourth proportional to 83,114, 124,677.52 and 27,710 is: 41,567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,114 : 124,677.52 = 27,710 : x
  2. Step 2: Convert to fraction form
    83,114/124,677.52 = 27,710/x
  3. Step 3: Cross multiply
    83,114x = 124,677.52 × 27,710
  4. Step 4: Simplify right side
    83,114x = 3,454,814,079.20
  5. Step 5: Solve for x
    x = 3,454,814,079.20/83,114
  6. Step 6: Final answer
    x = 41,567.17

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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.