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Finding the Fourth Proportional to 48,803.42, 67,349.99 and 27,584.03

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Solution

The fourth proportional to 48,803.42, 67,349.99 and 27,584.03 is: 38,066.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,803.42 : 67,349.99 = 27,584.03 : x
  2. Step 2: Convert to fraction form
    48,803.42/67,349.99 = 27,584.03/x
  3. Step 3: Cross multiply
    48,803.42x = 67,349.99 × 27,584.03
  4. Step 4: Simplify right side
    48,803.42x = 1,857,784,144.66
  5. Step 5: Solve for x
    x = 1,857,784,144.66/48,803.42
  6. Step 6: Final answer
    x = 38,066.68

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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.