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Finding the Fourth Proportional to 75,937.70, 104,724.69 and 57,999.38

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Solution

The fourth proportional to 75,937.70, 104,724.69 and 57,999.38 is: 79,986.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,937.70 : 104,724.69 = 57,999.38 : x
  2. Step 2: Convert to fraction form
    75,937.70/104,724.69 = 57,999.38/x
  3. Step 3: Cross multiply
    75,937.70x = 104,724.69 × 57,999.38
  4. Step 4: Simplify right side
    75,937.70x = 6,073,967,090.69
  5. Step 5: Solve for x
    x = 6,073,967,090.69/75,937.70
  6. Step 6: Final answer
    x = 79,986.19

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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.