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Finding the Fourth Proportional to 32,882.88, 45,378.38 and 17,775.50

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Solution

The fourth proportional to 32,882.88, 45,378.38 and 17,775.50 is: 24,530.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,882.88 : 45,378.38 = 17,775.50 : x
  2. Step 2: Convert to fraction form
    32,882.88/45,378.38 = 17,775.50/x
  3. Step 3: Cross multiply
    32,882.88x = 45,378.38 × 17,775.50
  4. Step 4: Simplify right side
    32,882.88x = 806,623,393.69
  5. Step 5: Solve for x
    x = 806,623,393.69/32,882.88
  6. Step 6: Final answer
    x = 24,530.19

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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.