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Finding the Fourth Proportional to 55,565.74, 76,677.78 and 30,410.38

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Solution

The fourth proportional to 55,565.74, 76,677.78 and 30,410.38 is: 41,964.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,565.74 : 76,677.78 = 30,410.38 : x
  2. Step 2: Convert to fraction form
    55,565.74/76,677.78 = 30,410.38/x
  3. Step 3: Cross multiply
    55,565.74x = 76,677.78 × 30,410.38
  4. Step 4: Simplify right side
    55,565.74x = 2,331,800,427.36
  5. Step 5: Solve for x
    x = 2,331,800,427.36/55,565.74
  6. Step 6: Final answer
    x = 41,964.71

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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.