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Finding the Fourth Proportional to 48,803.20, 67,347.84 and 27,583.36

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Solution

The fourth proportional to 48,803.20, 67,347.84 and 27,583.36 is: 38,064.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,803.20 : 67,347.84 = 27,583.36 : x
  2. Step 2: Convert to fraction form
    48,803.20/67,347.84 = 27,583.36/x
  3. Step 3: Cross multiply
    48,803.20x = 67,347.84 × 27,583.36
  4. Step 4: Simplify right side
    48,803.20x = 1,857,679,715.94
  5. Step 5: Solve for x
    x = 1,857,679,715.94/48,803.20
  6. Step 6: Final answer
    x = 38,064.71

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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.