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Finding the Fourth Proportional to 39,649.50, 54,721.17 and 22,882.50

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Solution

The fourth proportional to 39,649.50, 54,721.17 and 22,882.50 is: 31,580.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,649.50 : 54,721.17 = 22,882.50 : x
  2. Step 2: Convert to fraction form
    39,649.50/54,721.17 = 22,882.50/x
  3. Step 3: Cross multiply
    39,649.50x = 54,721.17 × 22,882.50
  4. Step 4: Simplify right side
    39,649.50x = 1,252,157,172.53
  5. Step 5: Solve for x
    x = 1,252,157,172.53/39,649.50
  6. Step 6: Final answer
    x = 31,580.65

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1.5x scale

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.