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Finding the Fourth Proportional to 92,397.96, 138,560.22 and 33,215.40

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Solution

The fourth proportional to 92,397.96, 138,560.22 and 33,215.40 is: 49,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,397.96 : 138,560.22 = 33,215.40 : x
  2. Step 2: Convert to fraction form
    92,397.96/138,560.22 = 33,215.40/x
  3. Step 3: Cross multiply
    92,397.96x = 138,560.22 × 33,215.40
  4. Step 4: Simplify right side
    92,397.96x = 4,602,333,131.39
  5. Step 5: Solve for x
    x = 4,602,333,131.39/92,397.96
  6. Step 6: Final answer
    x = 49,809.90

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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.