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Finding the Fourth Proportional to 83,022.60, 114,536.52 and 54,349.28

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Solution

The fourth proportional to 83,022.60, 114,536.52 and 54,349.28 is: 74,979.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,022.60 : 114,536.52 = 54,349.28 : x
  2. Step 2: Convert to fraction form
    83,022.60/114,536.52 = 54,349.28/x
  3. Step 3: Cross multiply
    83,022.60x = 114,536.52 × 54,349.28
  4. Step 4: Simplify right side
    83,022.60x = 6,224,976,823.02
  5. Step 5: Solve for x
    x = 6,224,976,823.02/83,022.60
  6. Step 6: Final answer
    x = 74,979.30

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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.