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Finding the Fourth Proportional to 55,866.74, 77,093.25 and 30,711.38

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Solution

The fourth proportional to 55,866.74, 77,093.25 and 30,711.38 is: 42,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,866.74 : 77,093.25 = 30,711.38 : x
  2. Step 2: Convert to fraction form
    55,866.74/77,093.25 = 30,711.38/x
  3. Step 3: Cross multiply
    55,866.74x = 77,093.25 × 30,711.38
  4. Step 4: Simplify right side
    55,866.74x = 2,367,640,096.19
  5. Step 5: Solve for x
    x = 2,367,640,096.19/55,866.74
  6. Step 6: Final answer
    x = 42,380.14

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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.