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Finding the Fourth Proportional to 96,883.98, 133,698.51 and 54,442.14

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Solution

The fourth proportional to 96,883.98, 133,698.51 and 54,442.14 is: 75,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,883.98 : 133,698.51 = 54,442.14 : x
  2. Step 2: Convert to fraction form
    96,883.98/133,698.51 = 54,442.14/x
  3. Step 3: Cross multiply
    96,883.98x = 133,698.51 × 54,442.14
  4. Step 4: Simplify right side
    96,883.98x = 7,278,832,999.21
  5. Step 5: Solve for x
    x = 7,278,832,999.21/96,883.98
  6. Step 6: Final answer
    x = 75,129.38

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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.