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Finding the Fourth Proportional to 101,397.56, 152,117.75 and 38,216.34

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Solution

The fourth proportional to 101,397.56, 152,117.75 and 38,216.34 is: 57,332.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,397.56 : 152,117.75 = 38,216.34 : x
  2. Step 2: Convert to fraction form
    101,397.56/152,117.75 = 38,216.34/x
  3. Step 3: Cross multiply
    101,397.56x = 152,117.75 × 38,216.34
  4. Step 4: Simplify right side
    101,397.56x = 5,813,383,654.04
  5. Step 5: Solve for x
    x = 5,813,383,654.04/101,397.56
  6. Step 6: Final answer
    x = 57,332.58

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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.