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Finding the Fourth Proportional to 49,022.67, 67,648.82 and 27,803.91

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Solution

The fourth proportional to 49,022.67, 67,648.82 and 27,803.91 is: 38,368.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,022.67 : 67,648.82 = 27,803.91 : x
  2. Step 2: Convert to fraction form
    49,022.67/67,648.82 = 27,803.91/x
  3. Step 3: Cross multiply
    49,022.67x = 67,648.82 × 27,803.91
  4. Step 4: Simplify right side
    49,022.67x = 1,880,901,563.87
  5. Step 5: Solve for x
    x = 1,880,901,563.87/49,022.67
  6. Step 6: Final answer
    x = 38,368.00

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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.