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Finding the Fourth Proportional to 92,263.50, 138,454.11 and 33,097.86

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Solution

The fourth proportional to 92,263.50, 138,454.11 and 33,097.86 is: 49,667.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,263.50 : 138,454.11 = 33,097.86 : x
  2. Step 2: Convert to fraction form
    92,263.50/138,454.11 = 33,097.86/x
  3. Step 3: Cross multiply
    92,263.50x = 138,454.11 × 33,097.86
  4. Step 4: Simplify right side
    92,263.50x = 4,582,534,749.20
  5. Step 5: Solve for x
    x = 4,582,534,749.20/92,263.50
  6. Step 6: Final answer
    x = 49,667.90

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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.