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Finding the Fourth Proportional to 96,978.12, 133,835.10 and 54,539.16

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Solution

The fourth proportional to 96,978.12, 133,835.10 and 54,539.16 is: 75,267.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,978.12 : 133,835.10 = 54,539.16 : x
  2. Step 2: Convert to fraction form
    96,978.12/133,835.10 = 54,539.16/x
  3. Step 3: Cross multiply
    96,978.12x = 133,835.10 × 54,539.16
  4. Step 4: Simplify right side
    96,978.12x = 7,299,253,932.52
  5. Step 5: Solve for x
    x = 7,299,253,932.52/96,978.12
  6. Step 6: Final answer
    x = 75,267.02

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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.