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Finding the Fourth Proportional to 100,569.74, 150,874.07 and 38,235.38

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Solution

The fourth proportional to 100,569.74, 150,874.07 and 38,235.38 is: 57,360.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,569.74 : 150,874.07 = 38,235.38 : x
  2. Step 2: Convert to fraction form
    100,569.74/150,874.07 = 38,235.38/x
  3. Step 3: Cross multiply
    100,569.74x = 150,874.07 × 38,235.38
  4. Step 4: Simplify right side
    100,569.74x = 5,768,726,453.05
  5. Step 5: Solve for x
    x = 5,768,726,453.05/100,569.74
  6. Step 6: Final answer
    x = 57,360.46

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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.