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Finding the Fourth Proportional to 98,277.82, 135,627.15 and 53,565.82

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Solution

The fourth proportional to 98,277.82, 135,627.15 and 53,565.82 is: 73,922.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,277.82 : 135,627.15 = 53,565.82 : x
  2. Step 2: Convert to fraction form
    98,277.82/135,627.15 = 53,565.82/x
  3. Step 3: Cross multiply
    98,277.82x = 135,627.15 × 53,565.82
  4. Step 4: Simplify right side
    98,277.82x = 7,264,979,504.01
  5. Step 5: Solve for x
    x = 7,264,979,504.01/98,277.82
  6. Step 6: Final answer
    x = 73,922.88

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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.