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Finding the Fourth Proportional to 92,299.80, 138,452.74 and 25,734.31

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Solution

The fourth proportional to 92,299.80, 138,452.74 and 25,734.31 is: 38,602.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,299.80 : 138,452.74 = 25,734.31 : x
  2. Step 2: Convert to fraction form
    92,299.80/138,452.74 = 25,734.31/x
  3. Step 3: Cross multiply
    92,299.80x = 138,452.74 × 25,734.31
  4. Step 4: Simplify right side
    92,299.80x = 3,562,985,465.80
  5. Step 5: Solve for x
    x = 3,562,985,465.80/92,299.80
  6. Step 6: Final answer
    x = 38,602.31

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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.