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Finding the Fourth Proportional to 49,820, 68,751.60 and 27,464.48

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Solution

The fourth proportional to 49,820, 68,751.60 and 27,464.48 is: 37,900.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,820 : 68,751.60 = 27,464.48 : x
  2. Step 2: Convert to fraction form
    49,820/68,751.60 = 27,464.48/x
  3. Step 3: Cross multiply
    49,820x = 68,751.60 × 27,464.48
  4. Step 4: Simplify right side
    49,820x = 1,888,226,943.17
  5. Step 5: Solve for x
    x = 1,888,226,943.17/49,820
  6. Step 6: Final answer
    x = 37,900.98

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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.