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Finding the Fourth Proportional to 55,894.14, 77,133.87 and 32,019.66

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Solution

The fourth proportional to 55,894.14, 77,133.87 and 32,019.66 is: 44,187.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,894.14 : 77,133.87 = 32,019.66 : x
  2. Step 2: Convert to fraction form
    55,894.14/77,133.87 = 32,019.66/x
  3. Step 3: Cross multiply
    55,894.14x = 77,133.87 × 32,019.66
  4. Step 4: Simplify right side
    55,894.14x = 2,469,800,291.88
  5. Step 5: Solve for x
    x = 2,469,800,291.88/55,894.14
  6. Step 6: Final answer
    x = 44,187.11

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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.