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Finding the Fourth Proportional to 67,141.84, 100,649.82 and 22,737.58

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Solution

The fourth proportional to 67,141.84, 100,649.82 and 22,737.58 is: 34,085.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,141.84 : 100,649.82 = 22,737.58 : x
  2. Step 2: Convert to fraction form
    67,141.84/100,649.82 = 22,737.58/x
  3. Step 3: Cross multiply
    67,141.84x = 100,649.82 × 22,737.58
  4. Step 4: Simplify right side
    67,141.84x = 2,288,533,334.24
  5. Step 5: Solve for x
    x = 2,288,533,334.24/67,141.84
  6. Step 6: Final answer
    x = 34,085.06

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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.