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Finding the Fourth Proportional to 32,775.33, 45,217.13 and 20,178.21

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Solution

The fourth proportional to 32,775.33, 45,217.13 and 20,178.21 is: 27,838.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,775.33 : 45,217.13 = 20,178.21 : x
  2. Step 2: Convert to fraction form
    32,775.33/45,217.13 = 20,178.21/x
  3. Step 3: Cross multiply
    32,775.33x = 45,217.13 × 20,178.21
  4. Step 4: Simplify right side
    32,775.33x = 912,400,643.85
  5. Step 5: Solve for x
    x = 912,400,643.85/32,775.33
  6. Step 6: Final answer
    x = 27,838.03

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