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Finding the Fourth Proportional to 83,873.64, 115,745.88 and 45,633.15

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Solution

The fourth proportional to 83,873.64, 115,745.88 and 45,633.15 is: 62,973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,873.64 : 115,745.88 = 45,633.15 : x
  2. Step 2: Convert to fraction form
    83,873.64/115,745.88 = 45,633.15/x
  3. Step 3: Cross multiply
    83,873.64x = 115,745.88 × 45,633.15
  4. Step 4: Simplify right side
    83,873.64x = 5,281,849,103.92
  5. Step 5: Solve for x
    x = 5,281,849,103.92/83,873.64
  6. Step 6: Final answer
    x = 62,973.89

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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.