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Finding the Fourth Proportional to 75,855.30, 113,796.30 and 25,923.66

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Solution

The fourth proportional to 75,855.30, 113,796.30 and 25,923.66 is: 38,890.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,855.30 : 113,796.30 = 25,923.66 : x
  2. Step 2: Convert to fraction form
    75,855.30/113,796.30 = 25,923.66/x
  3. Step 3: Cross multiply
    75,855.30x = 113,796.30 × 25,923.66
  4. Step 4: Simplify right side
    75,855.30x = 2,950,016,590.46
  5. Step 5: Solve for x
    x = 2,950,016,590.46/75,855.30
  6. Step 6: Final answer
    x = 38,890.05

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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.