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Finding the Fourth Proportional to 83,824.43, 115,678.85 and 48,014.39

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Solution

The fourth proportional to 83,824.43, 115,678.85 and 48,014.39 is: 66,260.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,824.43 : 115,678.85 = 48,014.39 : x
  2. Step 2: Convert to fraction form
    83,824.43/115,678.85 = 48,014.39/x
  3. Step 3: Cross multiply
    83,824.43x = 115,678.85 × 48,014.39
  4. Step 4: Simplify right side
    83,824.43x = 5,554,249,467.78
  5. Step 5: Solve for x
    x = 5,554,249,467.78/83,824.43
  6. Step 6: Final answer
    x = 66,260.51

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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.