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Finding the Fourth Proportional to 67,809.42, 101,697.12 and 32,248.80

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Solution

The fourth proportional to 67,809.42, 101,697.12 and 32,248.80 is: 48,365.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,809.42 : 101,697.12 = 32,248.80 : x
  2. Step 2: Convert to fraction form
    67,809.42/101,697.12 = 32,248.80/x
  3. Step 3: Cross multiply
    67,809.42x = 101,697.12 × 32,248.80
  4. Step 4: Simplify right side
    67,809.42x = 3,279,610,083.46
  5. Step 5: Solve for x
    x = 3,279,610,083.46/67,809.42
  6. Step 6: Final answer
    x = 48,365.11

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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.