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Finding the Fourth Proportional to 48,970, 67,579.14 and 26,614

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Solution

The fourth proportional to 48,970, 67,579.14 and 26,614 is: 36,727.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,970 : 67,579.14 = 26,614 : x
  2. Step 2: Convert to fraction form
    48,970/67,579.14 = 26,614/x
  3. Step 3: Cross multiply
    48,970x = 67,579.14 × 26,614
  4. Step 4: Simplify right side
    48,970x = 1,798,551,231.96
  5. Step 5: Solve for x
    x = 1,798,551,231.96/48,970
  6. Step 6: Final answer
    x = 36,727.61

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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.