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Finding the Fourth Proportional to 83,267.68, 114,874.56 and 54,594.24

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Solution

The fourth proportional to 83,267.68, 114,874.56 and 54,594.24 is: 75,317.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,267.68 : 114,874.56 = 54,594.24 : x
  2. Step 2: Convert to fraction form
    83,267.68/114,874.56 = 54,594.24/x
  3. Step 3: Cross multiply
    83,267.68x = 114,874.56 × 54,594.24
  4. Step 4: Simplify right side
    83,267.68x = 6,271,489,298.53
  5. Step 5: Solve for x
    x = 6,271,489,298.53/83,267.68
  6. Step 6: Final answer
    x = 75,317.21

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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.