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Finding the Fourth Proportional to 49,888.48, 74,391.64 and 49,443.78

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Solution

The fourth proportional to 49,888.48, 74,391.64 and 49,443.78 is: 73,728.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,888.48 : 74,391.64 = 49,443.78 : x
  2. Step 2: Convert to fraction form
    49,888.48/74,391.64 = 49,443.78/x
  3. Step 3: Cross multiply
    49,888.48x = 74,391.64 × 49,443.78
  4. Step 4: Simplify right side
    49,888.48x = 3,678,203,882.00
  5. Step 5: Solve for x
    x = 3,678,203,882.00/49,888.48
  6. Step 6: Final answer
    x = 73,728.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.