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Finding the Fourth Proportional to 75,010.38, 103,514.35 and 42,744.07

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Solution

The fourth proportional to 75,010.38, 103,514.35 and 42,744.07 is: 58,986.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,010.38 : 103,514.35 = 42,744.07 : x
  2. Step 2: Convert to fraction form
    75,010.38/103,514.35 = 42,744.07/x
  3. Step 3: Cross multiply
    75,010.38x = 103,514.35 × 42,744.07
  4. Step 4: Simplify right side
    75,010.38x = 4,424,624,622.40
  5. Step 5: Solve for x
    x = 4,424,624,622.40/75,010.38
  6. Step 6: Final answer
    x = 58,986.83

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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.