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Finding the Fourth Proportional to 48,878.45, 67,457.75 and 27,659.08

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Solution

The fourth proportional to 48,878.45, 67,457.75 and 27,659.08 is: 38,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,878.45 : 67,457.75 = 27,659.08 : x
  2. Step 2: Convert to fraction form
    48,878.45/67,457.75 = 27,659.08/x
  3. Step 3: Cross multiply
    48,878.45x = 67,457.75 × 27,659.08
  4. Step 4: Simplify right side
    48,878.45x = 1,865,819,249.90
  5. Step 5: Solve for x
    x = 1,865,819,249.90/48,878.45
  6. Step 6: Final answer
    x = 38,172.64

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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.