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Finding the Fourth Proportional to 98,748, 148,122 and 24,876

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Solution

The fourth proportional to 98,748, 148,122 and 24,876 is: 37,314

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,748 : 148,122 = 24,876 : x
  2. Step 2: Convert to fraction form
    98,748/148,122 = 24,876/x
  3. Step 3: Cross multiply
    98,748x = 148,122 × 24,876
  4. Step 4: Simplify right side
    98,748x = 3,684,682,872
  5. Step 5: Solve for x
    x = 3,684,682,872/98,748
  6. Step 6: Final answer
    x = 37,314

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.