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Finding the Fourth Proportional to 82,496, 113,874 and 48,962

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Solution

The fourth proportional to 82,496, 113,874 and 48,962 is: 67,585.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,496 : 113,874 = 48,962 : x
  2. Step 2: Convert to fraction form
    82,496/113,874 = 48,962/x
  3. Step 3: Cross multiply
    82,496x = 113,874 × 48,962
  4. Step 4: Simplify right side
    82,496x = 5,575,498,788
  5. Step 5: Solve for x
    x = 5,575,498,788/82,496
  6. Step 6: Final answer
    x = 67,585.08

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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.