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Finding the Fourth Proportional to 98,717.96, 136,231.86 and 54,005

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Solution

The fourth proportional to 98,717.96, 136,231.86 and 54,005 is: 74,527.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,717.96 : 136,231.86 = 54,005 : x
  2. Step 2: Convert to fraction form
    98,717.96/136,231.86 = 54,005/x
  3. Step 3: Cross multiply
    98,717.96x = 136,231.86 × 54,005
  4. Step 4: Simplify right side
    98,717.96x = 7,357,201,599.30
  5. Step 5: Solve for x
    x = 7,357,201,599.30/98,717.96
  6. Step 6: Final answer
    x = 74,527.49

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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.