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Finding the Fourth Proportional to 77,765.93, 116,667.42 and 25,175.41

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Solution

The fourth proportional to 77,765.93, 116,667.42 and 25,175.41 is: 37,769.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,765.93 : 116,667.42 = 25,175.41 : x
  2. Step 2: Convert to fraction form
    77,765.93/116,667.42 = 25,175.41/x
  3. Step 3: Cross multiply
    77,765.93x = 116,667.42 × 25,175.41
  4. Step 4: Simplify right side
    77,765.93x = 2,937,150,543.93
  5. Step 5: Solve for x
    x = 2,937,150,543.93/77,765.93
  6. Step 6: Final answer
    x = 37,769.12

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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.