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Finding the Fourth Proportional to 89,648.32, 134,422.70 and 41,564.38

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Solution

The fourth proportional to 89,648.32, 134,422.70 and 41,564.38 is: 62,323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,648.32 : 134,422.70 = 41,564.38 : x
  2. Step 2: Convert to fraction form
    89,648.32/134,422.70 = 41,564.38/x
  3. Step 3: Cross multiply
    89,648.32x = 134,422.70 × 41,564.38
  4. Step 4: Simplify right side
    89,648.32x = 5,587,196,183.43
  5. Step 5: Solve for x
    x = 5,587,196,183.43/89,648.32
  6. Step 6: Final answer
    x = 62,323.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.