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Finding the Fourth Proportional to 32,298.35, 44,575.42 and 17,959.61

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Solution

The fourth proportional to 32,298.35, 44,575.42 and 17,959.61 is: 24,786.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,298.35 : 44,575.42 = 17,959.61 : x
  2. Step 2: Convert to fraction form
    32,298.35/44,575.42 = 17,959.61/x
  3. Step 3: Cross multiply
    32,298.35x = 44,575.42 × 17,959.61
  4. Step 4: Simplify right side
    32,298.35x = 800,557,225.33
  5. Step 5: Solve for x
    x = 800,557,225.33/32,298.35
  6. Step 6: Final answer
    x = 24,786.32

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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.