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Finding the Fourth Proportional to 77,288.48, 115,961.92 and 27,366.56

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Solution

The fourth proportional to 77,288.48, 115,961.92 and 27,366.56 is: 41,060.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,288.48 : 115,961.92 = 27,366.56 : x
  2. Step 2: Convert to fraction form
    77,288.48/115,961.92 = 27,366.56/x
  3. Step 3: Cross multiply
    77,288.48x = 115,961.92 × 27,366.56
  4. Step 4: Simplify right side
    77,288.48x = 3,173,478,841.40
  5. Step 5: Solve for x
    x = 3,173,478,841.40/77,288.48
  6. Step 6: Final answer
    x = 41,060.18

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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.