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Finding the Fourth Proportional to 83,958.04, 115,861.56 and 46,232

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Solution

The fourth proportional to 83,958.04, 115,861.56 and 46,232 is: 63,799.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,958.04 : 115,861.56 = 46,232 : x
  2. Step 2: Convert to fraction form
    83,958.04/115,861.56 = 46,232/x
  3. Step 3: Cross multiply
    83,958.04x = 115,861.56 × 46,232
  4. Step 4: Simplify right side
    83,958.04x = 5,356,511,641.92
  5. Step 5: Solve for x
    x = 5,356,511,641.92/83,958.04
  6. Step 6: Final answer
    x = 63,799.87

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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.