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Finding the Fourth Proportional to 84,111.38, 116,091.71 and 48,321.12

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Solution

The fourth proportional to 84,111.38, 116,091.71 and 48,321.12 is: 66,693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,111.38 : 116,091.71 = 48,321.12 : x
  2. Step 2: Convert to fraction form
    84,111.38/116,091.71 = 48,321.12/x
  3. Step 3: Cross multiply
    84,111.38x = 116,091.71 × 48,321.12
  4. Step 4: Simplify right side
    84,111.38x = 5,609,681,208.31
  5. Step 5: Solve for x
    x = 5,609,681,208.31/84,111.38
  6. Step 6: Final answer
    x = 66,693.49

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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.