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Finding the Fourth Proportional to 75,952.72, 113,945.24 and 26,019.42

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Solution

The fourth proportional to 75,952.72, 113,945.24 and 26,019.42 is: 39,034.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,952.72 : 113,945.24 = 26,019.42 : x
  2. Step 2: Convert to fraction form
    75,952.72/113,945.24 = 26,019.42/x
  3. Step 3: Cross multiply
    75,952.72x = 113,945.24 × 26,019.42
  4. Step 4: Simplify right side
    75,952.72x = 2,964,788,356.74
  5. Step 5: Solve for x
    x = 2,964,788,356.74/75,952.72
  6. Step 6: Final answer
    x = 39,034.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.