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Finding the Fourth Proportional to 101,758.82, 152,645.52 and 26,878.22

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Solution

The fourth proportional to 101,758.82, 152,645.52 and 26,878.22 is: 40,319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,758.82 : 152,645.52 = 26,878.22 : x
  2. Step 2: Convert to fraction form
    101,758.82/152,645.52 = 26,878.22/x
  3. Step 3: Cross multiply
    101,758.82x = 152,645.52 × 26,878.22
  4. Step 4: Simplify right side
    101,758.82x = 4,102,839,105.35
  5. Step 5: Solve for x
    x = 4,102,839,105.35/101,758.82
  6. Step 6: Final answer
    x = 40,319.25

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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.