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Finding the Fourth Proportional to 83,730.56, 115,548 and 45,490.24

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Solution

The fourth proportional to 83,730.56, 115,548 and 45,490.24 is: 62,776.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,730.56 : 115,548 = 45,490.24 : x
  2. Step 2: Convert to fraction form
    83,730.56/115,548 = 45,490.24/x
  3. Step 3: Cross multiply
    83,730.56x = 115,548 × 45,490.24
  4. Step 4: Simplify right side
    83,730.56x = 5,256,306,251.52
  5. Step 5: Solve for x
    x = 5,256,306,251.52/83,730.56
  6. Step 6: Final answer
    x = 62,776.44

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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.