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Finding the Fourth Proportional to 77,769.92, 116,673.42 and 25,179.42

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Solution

The fourth proportional to 77,769.92, 116,673.42 and 25,179.42 is: 37,775.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,769.92 : 116,673.42 = 25,179.42 : x
  2. Step 2: Convert to fraction form
    77,769.92/116,673.42 = 25,179.42/x
  3. Step 3: Cross multiply
    77,769.92x = 116,673.42 × 25,179.42
  4. Step 4: Simplify right side
    77,769.92x = 2,937,769,045.02
  5. Step 5: Solve for x
    x = 2,937,769,045.02/77,769.92
  6. Step 6: Final answer
    x = 37,775.13

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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.