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Finding the Fourth Proportional to 80,774.36, 111,503.07 and 57,505.79

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Solution

The fourth proportional to 80,774.36, 111,503.07 and 57,505.79 is: 79,382.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,774.36 : 111,503.07 = 57,505.79 : x
  2. Step 2: Convert to fraction form
    80,774.36/111,503.07 = 57,505.79/x
  3. Step 3: Cross multiply
    80,774.36x = 111,503.07 × 57,505.79
  4. Step 4: Simplify right side
    80,774.36x = 6,412,072,127.78
  5. Step 5: Solve for x
    x = 6,412,072,127.78/80,774.36
  6. Step 6: Final answer
    x = 79,382.52

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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.