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Finding the Fourth Proportional to 32,469, 44,807.31 and 17,565

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Solution

The fourth proportional to 32,469, 44,807.31 and 17,565 is: 24,239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,469 : 44,807.31 = 17,565 : x
  2. Step 2: Convert to fraction form
    32,469/44,807.31 = 17,565/x
  3. Step 3: Cross multiply
    32,469x = 44,807.31 × 17,565
  4. Step 4: Simplify right side
    32,469x = 787,040,400.15
  5. Step 5: Solve for x
    x = 787,040,400.15/32,469
  6. Step 6: Final answer
    x = 24,239.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.