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Finding the Fourth Proportional to 85,421.70, 128,132.55 and 32,832.90

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Solution

The fourth proportional to 85,421.70, 128,132.55 and 32,832.90 is: 49,249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,421.70 : 128,132.55 = 32,832.90 : x
  2. Step 2: Convert to fraction form
    85,421.70/128,132.55 = 32,832.90/x
  3. Step 3: Cross multiply
    85,421.70x = 128,132.55 × 32,832.90
  4. Step 4: Simplify right side
    85,421.70x = 4,206,963,200.90
  5. Step 5: Solve for x
    x = 4,206,963,200.90/85,421.70
  6. Step 6: Final answer
    x = 49,249.35

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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.