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Finding the Fourth Proportional to 83,111.13, 114,621 and 54,027.20

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Solution

The fourth proportional to 83,111.13, 114,621 and 54,027.20 is: 74,510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,111.13 : 114,621 = 54,027.20 : x
  2. Step 2: Convert to fraction form
    83,111.13/114,621 = 54,027.20/x
  3. Step 3: Cross multiply
    83,111.13x = 114,621 × 54,027.20
  4. Step 4: Simplify right side
    83,111.13x = 6,192,651,118.10
  5. Step 5: Solve for x
    x = 6,192,651,118.10/83,111.13
  6. Step 6: Final answer
    x = 74,510.49

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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.