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Finding the Fourth Proportional to 49,174.78, 73,631.04 and 25,752.10

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Solution

The fourth proportional to 49,174.78, 73,631.04 and 25,752.10 is: 38,559.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,174.78 : 73,631.04 = 25,752.10 : x
  2. Step 2: Convert to fraction form
    49,174.78/73,631.04 = 25,752.10/x
  3. Step 3: Cross multiply
    49,174.78x = 73,631.04 × 25,752.10
  4. Step 4: Simplify right side
    49,174.78x = 1,896,153,905.18
  5. Step 5: Solve for x
    x = 1,896,153,905.18/49,174.78
  6. Step 6: Final answer
    x = 38,559.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.