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Finding the Fourth Proportional to 55,944.88, 77,205.14 and 30,794.38

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Solution

The fourth proportional to 55,944.88, 77,205.14 and 30,794.38 is: 42,496.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,944.88 : 77,205.14 = 30,794.38 : x
  2. Step 2: Convert to fraction form
    55,944.88/77,205.14 = 30,794.38/x
  3. Step 3: Cross multiply
    55,944.88x = 77,205.14 × 30,794.38
  4. Step 4: Simplify right side
    55,944.88x = 2,377,484,419.11
  5. Step 5: Solve for x
    x = 2,377,484,419.11/55,944.88
  6. Step 6: Final answer
    x = 42,496.91

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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.