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Finding the Fourth Proportional to 98,243, 135,575.36 and 53,531

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Solution

The fourth proportional to 98,243, 135,575.36 and 53,531 is: 73,872.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,243 : 135,575.36 = 53,531 : x
  2. Step 2: Convert to fraction form
    98,243/135,575.36 = 53,531/x
  3. Step 3: Cross multiply
    98,243x = 135,575.36 × 53,531
  4. Step 4: Simplify right side
    98,243x = 7,257,484,596.16
  5. Step 5: Solve for x
    x = 7,257,484,596.16/98,243
  6. Step 6: Final answer
    x = 73,872.79

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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.