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Finding the Fourth Proportional to 32,021.32, 48,031.92 and 17,798.84

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Solution

The fourth proportional to 32,021.32, 48,031.92 and 17,798.84 is: 26,698.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,021.32 : 48,031.92 = 17,798.84 : x
  2. Step 2: Convert to fraction form
    32,021.32/48,031.92 = 17,798.84/x
  3. Step 3: Cross multiply
    32,021.32x = 48,031.92 × 17,798.84
  4. Step 4: Simplify right side
    32,021.32x = 854,912,458.97
  5. Step 5: Solve for x
    x = 854,912,458.97/32,021.32
  6. Step 6: Final answer
    x = 26,698.23

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