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Finding the Fourth Proportional to 67,057.25, 100,432.74 and 32,021.51

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Solution

The fourth proportional to 67,057.25, 100,432.74 and 32,021.51 is: 47,959.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,057.25 : 100,432.74 = 32,021.51 : x
  2. Step 2: Convert to fraction form
    67,057.25/100,432.74 = 32,021.51/x
  3. Step 3: Cross multiply
    67,057.25x = 100,432.74 × 32,021.51
  4. Step 4: Simplify right side
    67,057.25x = 3,216,007,988.24
  5. Step 5: Solve for x
    x = 3,216,007,988.24/67,057.25
  6. Step 6: Final answer
    x = 47,959.14

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Why These Related Problems?

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