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Finding the Fourth Proportional to 59,874.70, 89,814.81 and 20,432.20

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Solution

The fourth proportional to 59,874.70, 89,814.81 and 20,432.20 is: 30,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,874.70 : 89,814.81 = 20,432.20 : x
  2. Step 2: Convert to fraction form
    59,874.70/89,814.81 = 20,432.20/x
  3. Step 3: Cross multiply
    59,874.70x = 89,814.81 × 20,432.20
  4. Step 4: Simplify right side
    59,874.70x = 1,835,114,160.88
  5. Step 5: Solve for x
    x = 1,835,114,160.88/59,874.70
  6. Step 6: Final answer
    x = 30,649.24

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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.