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Finding the Fourth Proportional to 98,425, 135,827.22 and 53,713

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Solution

The fourth proportional to 98,425, 135,827.22 and 53,713 is: 74,124.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,425 : 135,827.22 = 53,713 : x
  2. Step 2: Convert to fraction form
    98,425/135,827.22 = 53,713/x
  3. Step 3: Cross multiply
    98,425x = 135,827.22 × 53,713
  4. Step 4: Simplify right side
    98,425x = 7,295,687,467.86
  5. Step 5: Solve for x
    x = 7,295,687,467.86/98,425
  6. Step 6: Final answer
    x = 74,124.33

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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.