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Finding the Fourth Proportional to 82,149.34, 113,363.30 and 46,338

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Solution

The fourth proportional to 82,149.34, 113,363.30 and 46,338 is: 63,944.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,149.34 : 113,363.30 = 46,338 : x
  2. Step 2: Convert to fraction form
    82,149.34/113,363.30 = 46,338/x
  3. Step 3: Cross multiply
    82,149.34x = 113,363.30 × 46,338
  4. Step 4: Simplify right side
    82,149.34x = 5,253,028,595.40
  5. Step 5: Solve for x
    x = 5,253,028,595.40/82,149.34
  6. Step 6: Final answer
    x = 63,944.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.