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Finding the Fourth Proportional to 77,969.25, 116,961.17 and 25,364.61

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Solution

The fourth proportional to 77,969.25, 116,961.17 and 25,364.61 is: 38,049.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,969.25 : 116,961.17 = 25,364.61 : x
  2. Step 2: Convert to fraction form
    77,969.25/116,961.17 = 25,364.61/x
  3. Step 3: Cross multiply
    77,969.25x = 116,961.17 × 25,364.61
  4. Step 4: Simplify right side
    77,969.25x = 2,966,674,335.37
  5. Step 5: Solve for x
    x = 2,966,674,335.37/77,969.25
  6. Step 6: Final answer
    x = 38,049.29

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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.