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Finding the Fourth Proportional to 83,643.64, 125,446.32 and 49,919.19

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Solution

The fourth proportional to 83,643.64, 125,446.32 and 49,919.19 is: 74,867.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,643.64 : 125,446.32 = 49,919.19 : x
  2. Step 2: Convert to fraction form
    83,643.64/125,446.32 = 49,919.19/x
  3. Step 3: Cross multiply
    83,643.64x = 125,446.32 × 49,919.19
  4. Step 4: Simplify right side
    83,643.64x = 6,262,178,212.46
  5. Step 5: Solve for x
    x = 6,262,178,212.46/83,643.64
  6. Step 6: Final answer
    x = 74,867.36

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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.