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Finding the Fourth Proportional to 48,802, 67,346.76 and 26,446

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Solution

The fourth proportional to 48,802, 67,346.76 and 26,446 is: 36,495.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,802 : 67,346.76 = 26,446 : x
  2. Step 2: Convert to fraction form
    48,802/67,346.76 = 26,446/x
  3. Step 3: Cross multiply
    48,802x = 67,346.76 × 26,446
  4. Step 4: Simplify right side
    48,802x = 1,781,052,414.96
  5. Step 5: Solve for x
    x = 1,781,052,414.96/48,802
  6. Step 6: Final answer
    x = 36,495.48

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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.