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Finding the Fourth Proportional to 92,046.96, 138,055.05 and 25,493.82

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Solution

The fourth proportional to 92,046.96, 138,055.05 and 25,493.82 is: 38,236.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,046.96 : 138,055.05 = 25,493.82 : x
  2. Step 2: Convert to fraction form
    92,046.96/138,055.05 = 25,493.82/x
  3. Step 3: Cross multiply
    92,046.96x = 138,055.05 × 25,493.82
  4. Step 4: Simplify right side
    92,046.96x = 3,519,550,594.79
  5. Step 5: Solve for x
    x = 3,519,550,594.79/92,046.96
  6. Step 6: Final answer
    x = 38,236.47

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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.