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Finding the Fourth Proportional to 29,046.44, 43,565.54 and 9,322.40

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Solution

The fourth proportional to 29,046.44, 43,565.54 and 9,322.40 is: 13,982.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,046.44 : 43,565.54 = 9,322.40 : x
  2. Step 2: Convert to fraction form
    29,046.44/43,565.54 = 9,322.40/x
  3. Step 3: Cross multiply
    29,046.44x = 43,565.54 × 9,322.40
  4. Step 4: Simplify right side
    29,046.44x = 406,135,125.66
  5. Step 5: Solve for x
    x = 406,135,125.66/29,046.44
  6. Step 6: Final answer
    x = 13,982.27

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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.