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Finding the Fourth Proportional to 59,878.54, 89,793.10 and 20,438.83

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Solution

The fourth proportional to 59,878.54, 89,793.10 and 20,438.83 is: 30,649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,878.54 : 89,793.10 = 20,438.83 : x
  2. Step 2: Convert to fraction form
    59,878.54/89,793.10 = 20,438.83/x
  3. Step 3: Cross multiply
    59,878.54x = 89,793.10 × 20,438.83
  4. Step 4: Simplify right side
    59,878.54x = 1,835,265,354.91
  5. Step 5: Solve for x
    x = 1,835,265,354.91/59,878.54
  6. Step 6: Final answer
    x = 30,649.80

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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.