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Finding the Fourth Proportional to 101,018.85, 151,532.88 and 37,822.65

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Solution

The fourth proportional to 101,018.85, 151,532.88 and 37,822.65 is: 56,735.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,018.85 : 151,532.88 = 37,822.65 : x
  2. Step 2: Convert to fraction form
    101,018.85/151,532.88 = 37,822.65/x
  3. Step 3: Cross multiply
    101,018.85x = 151,532.88 × 37,822.65
  4. Step 4: Simplify right side
    101,018.85x = 5,731,374,373.65
  5. Step 5: Solve for x
    x = 5,731,374,373.65/101,018.85
  6. Step 6: Final answer
    x = 56,735.69

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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.