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Finding the Fourth Proportional to 77,279.85, 115,928.42 and 24,670.89

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Solution

The fourth proportional to 77,279.85, 115,928.42 and 24,670.89 is: 37,009.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,279.85 : 115,928.42 = 24,670.89 : x
  2. Step 2: Convert to fraction form
    77,279.85/115,928.42 = 24,670.89/x
  3. Step 3: Cross multiply
    77,279.85x = 115,928.42 × 24,670.89
  4. Step 4: Simplify right side
    77,279.85x = 2,860,057,174.34
  5. Step 5: Solve for x
    x = 2,860,057,174.34/77,279.85
  6. Step 6: Final answer
    x = 37,009.09

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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.