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Finding the Fourth Proportional to 55,894.32, 77,134.11 and 32,021.09

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Solution

The fourth proportional to 55,894.32, 77,134.11 and 32,021.09 is: 44,189.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,894.32 : 77,134.11 = 32,021.09 : x
  2. Step 2: Convert to fraction form
    55,894.32/77,134.11 = 32,021.09/x
  3. Step 3: Cross multiply
    55,894.32x = 77,134.11 × 32,021.09
  4. Step 4: Simplify right side
    55,894.32x = 2,469,918,061.88
  5. Step 5: Solve for x
    x = 2,469,918,061.88/55,894.32
  6. Step 6: Final answer
    x = 44,189.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.