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Finding the Fourth Proportional to 48,927.80, 67,524.54 and 27,710.84

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Solution

The fourth proportional to 48,927.80, 67,524.54 and 27,710.84 is: 38,243.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,927.80 : 67,524.54 = 27,710.84 : x
  2. Step 2: Convert to fraction form
    48,927.80/67,524.54 = 27,710.84/x
  3. Step 3: Cross multiply
    48,927.80x = 67,524.54 × 27,710.84
  4. Step 4: Simplify right side
    48,927.80x = 1,871,161,724.01
  5. Step 5: Solve for x
    x = 1,871,161,724.01/48,927.80
  6. Step 6: Final answer
    x = 38,243.32

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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.