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Finding the Fourth Proportional to 101,761.66, 152,674.68 and 45,649.90

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Solution

The fourth proportional to 101,761.66, 152,674.68 and 45,649.90 is: 68,489.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,761.66 : 152,674.68 = 45,649.90 : x
  2. Step 2: Convert to fraction form
    101,761.66/152,674.68 = 45,649.90/x
  3. Step 3: Cross multiply
    101,761.66x = 152,674.68 × 45,649.90
  4. Step 4: Simplify right side
    101,761.66x = 6,969,583,874.53
  5. Step 5: Solve for x
    x = 6,969,583,874.53/101,761.66
  6. Step 6: Final answer
    x = 68,489.29

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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.