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Finding the Fourth Proportional to 32,989.72, 45,525.87 and 17,882.38

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Solution

The fourth proportional to 32,989.72, 45,525.87 and 17,882.38 is: 24,677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,989.72 : 45,525.87 = 17,882.38 : x
  2. Step 2: Convert to fraction form
    32,989.72/45,525.87 = 17,882.38/x
  3. Step 3: Cross multiply
    32,989.72x = 45,525.87 × 17,882.38
  4. Step 4: Simplify right side
    32,989.72x = 814,110,907.17
  5. Step 5: Solve for x
    x = 814,110,907.17/32,989.72
  6. Step 6: Final answer
    x = 24,677.71

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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.