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Finding the Fourth Proportional to 67,878.88, 101,821.06 and 32,321.90

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Solution

The fourth proportional to 67,878.88, 101,821.06 and 32,321.90 is: 48,484.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,878.88 : 101,821.06 = 32,321.90 : x
  2. Step 2: Convert to fraction form
    67,878.88/101,821.06 = 32,321.90/x
  3. Step 3: Cross multiply
    67,878.88x = 101,821.06 × 32,321.90
  4. Step 4: Simplify right side
    67,878.88x = 3,291,050,119.21
  5. Step 5: Solve for x
    x = 3,291,050,119.21/67,878.88
  6. Step 6: Final answer
    x = 48,484.15

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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.