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Finding the Fourth Proportional to 101,648.10, 152,362.80 and 38,443.80

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Solution

The fourth proportional to 101,648.10, 152,362.80 and 38,443.80 is: 57,624.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,648.10 : 152,362.80 = 38,443.80 : x
  2. Step 2: Convert to fraction form
    101,648.10/152,362.80 = 38,443.80/x
  3. Step 3: Cross multiply
    101,648.10x = 152,362.80 × 38,443.80
  4. Step 4: Simplify right side
    101,648.10x = 5,857,405,010.64
  5. Step 5: Solve for x
    x = 5,857,405,010.64/101,648.10
  6. Step 6: Final answer
    x = 57,624.34

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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.