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Finding the Fourth Proportional to 48,884.36, 67,462.26 and 27,664.52

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Solution

The fourth proportional to 48,884.36, 67,462.26 and 27,664.52 is: 38,178.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,884.36 : 67,462.26 = 27,664.52 : x
  2. Step 2: Convert to fraction form
    48,884.36/67,462.26 = 27,664.52/x
  3. Step 3: Cross multiply
    48,884.36x = 67,462.26 × 27,664.52
  4. Step 4: Simplify right side
    48,884.36x = 1,866,311,041.02
  5. Step 5: Solve for x
    x = 1,866,311,041.02/48,884.36
  6. Step 6: Final answer
    x = 38,178.08

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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.