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Finding the Fourth Proportional to 77,245.74, 115,884.87 and 26,649.36

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Solution

The fourth proportional to 77,245.74, 115,884.87 and 26,649.36 is: 39,979.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,245.74 : 115,884.87 = 26,649.36 : x
  2. Step 2: Convert to fraction form
    77,245.74/115,884.87 = 26,649.36/x
  3. Step 3: Cross multiply
    77,245.74x = 115,884.87 × 26,649.36
  4. Step 4: Simplify right side
    77,245.74x = 3,088,257,039.76
  5. Step 5: Solve for x
    x = 3,088,257,039.76/77,245.74
  6. Step 6: Final answer
    x = 39,979.64

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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.