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Finding the Fourth Proportional to 43,641.92, 65,468.80 and 17,349.44

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Solution

The fourth proportional to 43,641.92, 65,468.80 and 17,349.44 is: 26,026.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,641.92 : 65,468.80 = 17,349.44 : x
  2. Step 2: Convert to fraction form
    43,641.92/65,468.80 = 17,349.44/x
  3. Step 3: Cross multiply
    43,641.92x = 65,468.80 × 17,349.44
  4. Step 4: Simplify right side
    43,641.92x = 1,135,847,017.47
  5. Step 5: Solve for x
    x = 1,135,847,017.47/43,641.92
  6. Step 6: Final answer
    x = 26,026.51

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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.