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Finding the Fourth Proportional to 84,199, 116,181.38 and 48,382.08

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Solution

The fourth proportional to 84,199, 116,181.38 and 48,382.08 is: 66,759.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,199 : 116,181.38 = 48,382.08 : x
  2. Step 2: Convert to fraction form
    84,199/116,181.38 = 48,382.08/x
  3. Step 3: Cross multiply
    84,199x = 116,181.38 × 48,382.08
  4. Step 4: Simplify right side
    84,199x = 5,621,096,821.67
  5. Step 5: Solve for x
    x = 5,621,096,821.67/84,199
  6. Step 6: Final answer
    x = 66,759.66

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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.