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Finding the Fourth Proportional to 89,549.64, 134,295.46 and 29,564.64

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Solution

The fourth proportional to 89,549.64, 134,295.46 and 29,564.64 is: 44,337.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,549.64 : 134,295.46 = 29,564.64 : x
  2. Step 2: Convert to fraction form
    89,549.64/134,295.46 = 29,564.64/x
  3. Step 3: Cross multiply
    89,549.64x = 134,295.46 × 29,564.64
  4. Step 4: Simplify right side
    89,549.64x = 3,970,396,928.53
  5. Step 5: Solve for x
    x = 3,970,396,928.53/89,549.64
  6. Step 6: Final answer
    x = 44,337.39

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Why These Related Problems?

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