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Finding the Fourth Proportional to 92,117.68, 138,176 and 25,557.12

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Solution

The fourth proportional to 92,117.68, 138,176 and 25,557.12 is: 38,335.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,117.68 : 138,176 = 25,557.12 : x
  2. Step 2: Convert to fraction form
    92,117.68/138,176 = 25,557.12/x
  3. Step 3: Cross multiply
    92,117.68x = 138,176 × 25,557.12
  4. Step 4: Simplify right side
    92,117.68x = 3,531,380,613.12
  5. Step 5: Solve for x
    x = 3,531,380,613.12/92,117.68
  6. Step 6: Final answer
    x = 38,335.54

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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.