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Finding the Fourth Proportional to 101,694.23, 152,542.89 and 38,497.39

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Solution

The fourth proportional to 101,694.23, 152,542.89 and 38,497.39 is: 57,746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,694.23 : 152,542.89 = 38,497.39 : x
  2. Step 2: Convert to fraction form
    101,694.23/152,542.89 = 38,497.39/x
  3. Step 3: Cross multiply
    101,694.23x = 152,542.89 × 38,497.39
  4. Step 4: Simplify right side
    101,694.23x = 5,872,503,128.06
  5. Step 5: Solve for x
    x = 5,872,503,128.06/101,694.23
  6. Step 6: Final answer
    x = 57,746.67

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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.