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Finding the Fourth Proportional to 92,316.82, 138,489.78 and 32,361.82

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Solution

The fourth proportional to 92,316.82, 138,489.78 and 32,361.82 is: 48,547.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,316.82 : 138,489.78 = 32,361.82 : x
  2. Step 2: Convert to fraction form
    92,316.82/138,489.78 = 32,361.82/x
  3. Step 3: Cross multiply
    92,316.82x = 138,489.78 × 32,361.82
  4. Step 4: Simplify right side
    92,316.82x = 4,481,781,332.20
  5. Step 5: Solve for x
    x = 4,481,781,332.20/92,316.82
  6. Step 6: Final answer
    x = 48,547.83

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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.