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Finding the Fourth Proportional to 98,568.42, 136,024.47 and 53,856.42

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Solution

The fourth proportional to 98,568.42, 136,024.47 and 53,856.42 is: 74,321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,568.42 : 136,024.47 = 53,856.42 : x
  2. Step 2: Convert to fraction form
    98,568.42/136,024.47 = 53,856.42/x
  3. Step 3: Cross multiply
    98,568.42x = 136,024.47 × 53,856.42
  4. Step 4: Simplify right side
    98,568.42x = 7,325,790,986.60
  5. Step 5: Solve for x
    x = 7,325,790,986.60/98,568.42
  6. Step 6: Final answer
    x = 74,321.89

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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.