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Finding the Fourth Proportional to 92,134.25, 138,202.16 and 25,579.57

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Solution

The fourth proportional to 92,134.25, 138,202.16 and 25,579.57 is: 38,369.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,134.25 : 138,202.16 = 25,579.57 : x
  2. Step 2: Convert to fraction form
    92,134.25/138,202.16 = 25,579.57/x
  3. Step 3: Cross multiply
    92,134.25x = 138,202.16 × 25,579.57
  4. Step 4: Simplify right side
    92,134.25x = 3,535,152,145.84
  5. Step 5: Solve for x
    x = 3,535,152,145.84/92,134.25
  6. Step 6: Final answer
    x = 38,369.57

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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.