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Finding the Fourth Proportional to 77,678.72, 116,488.40 and 27,749.44

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Solution

The fourth proportional to 77,678.72, 116,488.40 and 27,749.44 is: 41,613.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,678.72 : 116,488.40 = 27,749.44 : x
  2. Step 2: Convert to fraction form
    77,678.72/116,488.40 = 27,749.44/x
  3. Step 3: Cross multiply
    77,678.72x = 116,488.40 × 27,749.44
  4. Step 4: Simplify right side
    77,678.72x = 3,232,487,866.50
  5. Step 5: Solve for x
    x = 3,232,487,866.50/77,678.72
  6. Step 6: Final answer
    x = 41,613.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.