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Finding the Fourth Proportional to 49,024.98, 67,644.45 and 27,798.66

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Solution

The fourth proportional to 49,024.98, 67,644.45 and 27,798.66 is: 38,356.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,024.98 : 67,644.45 = 27,798.66 : x
  2. Step 2: Convert to fraction form
    49,024.98/67,644.45 = 27,798.66/x
  3. Step 3: Cross multiply
    49,024.98x = 67,644.45 × 27,798.66
  4. Step 4: Simplify right side
    49,024.98x = 1,880,425,066.44
  5. Step 5: Solve for x
    x = 1,880,425,066.44/49,024.98
  6. Step 6: Final answer
    x = 38,356.47

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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.