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Finding the Fourth Proportional to 101,568.22, 152,269.21 and 38,352.48

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Solution

The fourth proportional to 101,568.22, 152,269.21 and 38,352.48 is: 57,497.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,568.22 : 152,269.21 = 38,352.48 : x
  2. Step 2: Convert to fraction form
    101,568.22/152,269.21 = 38,352.48/x
  3. Step 3: Cross multiply
    101,568.22x = 152,269.21 × 38,352.48
  4. Step 4: Simplify right side
    101,568.22x = 5,839,901,831.14
  5. Step 5: Solve for x
    x = 5,839,901,831.14/101,568.22
  6. Step 6: Final answer
    x = 57,497.33

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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.