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Finding the Fourth Proportional to 101,863.25, 152,795.65 and 38,666.35

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Solution

The fourth proportional to 101,863.25, 152,795.65 and 38,666.35 is: 57,999.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,863.25 : 152,795.65 = 38,666.35 : x
  2. Step 2: Convert to fraction form
    101,863.25/152,795.65 = 38,666.35/x
  3. Step 3: Cross multiply
    101,863.25x = 152,795.65 × 38,666.35
  4. Step 4: Simplify right side
    101,863.25x = 5,908,049,388.73
  5. Step 5: Solve for x
    x = 5,908,049,388.73/101,863.25
  6. Step 6: Final answer
    x = 57,999.81

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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.