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Finding the Fourth Proportional to 89,730.56, 123,820.42 and 49,434.40

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Solution

The fourth proportional to 89,730.56, 123,820.42 and 49,434.40 is: 68,215.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,730.56 : 123,820.42 = 49,434.40 : x
  2. Step 2: Convert to fraction form
    89,730.56/123,820.42 = 49,434.40/x
  3. Step 3: Cross multiply
    89,730.56x = 123,820.42 × 49,434.40
  4. Step 4: Simplify right side
    89,730.56x = 6,120,988,433.36
  5. Step 5: Solve for x
    x = 6,120,988,433.36/89,730.56
  6. Step 6: Final answer
    x = 68,215.20

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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.