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Finding the Fourth Proportional to 83,930.14, 115,839.12 and 48,120.40

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Solution

The fourth proportional to 83,930.14, 115,839.12 and 48,120.40 is: 66,415.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,930.14 : 115,839.12 = 48,120.40 : x
  2. Step 2: Convert to fraction form
    83,930.14/115,839.12 = 48,120.40/x
  3. Step 3: Cross multiply
    83,930.14x = 115,839.12 × 48,120.40
  4. Step 4: Simplify right side
    83,930.14x = 5,574,224,790.05
  5. Step 5: Solve for x
    x = 5,574,224,790.05/83,930.14
  6. Step 6: Final answer
    x = 66,415.05

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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.