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Finding the Fourth Proportional to 83,378.52, 115,062.12 and 45,652.50

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Solution

The fourth proportional to 83,378.52, 115,062.12 and 45,652.50 is: 63,000.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,378.52 : 115,062.12 = 45,652.50 : x
  2. Step 2: Convert to fraction form
    83,378.52/115,062.12 = 45,652.50/x
  3. Step 3: Cross multiply
    83,378.52x = 115,062.12 × 45,652.50
  4. Step 4: Simplify right side
    83,378.52x = 5,252,873,433.30
  5. Step 5: Solve for x
    x = 5,252,873,433.30/83,378.52
  6. Step 6: Final answer
    x = 63,000.32

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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.