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Finding the Fourth Proportional to 92,310.58, 138,465.82 and 22,189.87

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Solution

The fourth proportional to 92,310.58, 138,465.82 and 22,189.87 is: 33,284.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,310.58 : 138,465.82 = 22,189.87 : x
  2. Step 2: Convert to fraction form
    92,310.58/138,465.82 = 22,189.87/x
  3. Step 3: Cross multiply
    92,310.58x = 138,465.82 × 22,189.87
  4. Step 4: Simplify right side
    92,310.58x = 3,072,538,545.24
  5. Step 5: Solve for x
    x = 3,072,538,545.24/92,310.58
  6. Step 6: Final answer
    x = 33,284.79

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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.