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Finding the Fourth Proportional to 92,261.59, 138,404.11 and 36,094.50

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Solution

The fourth proportional to 92,261.59, 138,404.11 and 36,094.50 is: 54,146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,261.59 : 138,404.11 = 36,094.50 : x
  2. Step 2: Convert to fraction form
    92,261.59/138,404.11 = 36,094.50/x
  3. Step 3: Cross multiply
    92,261.59x = 138,404.11 × 36,094.50
  4. Step 4: Simplify right side
    92,261.59x = 4,995,626,778.93
  5. Step 5: Solve for x
    x = 4,995,626,778.93/92,261.59
  6. Step 6: Final answer
    x = 54,146.33

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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.