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Finding the Fourth Proportional to 83,793.48, 115,635.78 and 46,068

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Solution

The fourth proportional to 83,793.48, 115,635.78 and 46,068 is: 63,574.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,793.48 : 115,635.78 = 46,068 : x
  2. Step 2: Convert to fraction form
    83,793.48/115,635.78 = 46,068/x
  3. Step 3: Cross multiply
    83,793.48x = 115,635.78 × 46,068
  4. Step 4: Simplify right side
    83,793.48x = 5,327,109,113.04
  5. Step 5: Solve for x
    x = 5,327,109,113.04/83,793.48
  6. Step 6: Final answer
    x = 63,574.27

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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.