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Finding the Fourth Proportional to 48,474.82, 72,668.22 and 17,302.78

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Solution

The fourth proportional to 48,474.82, 72,668.22 and 17,302.78 is: 25,938.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,474.82 : 72,668.22 = 17,302.78 : x
  2. Step 2: Convert to fraction form
    48,474.82/72,668.22 = 17,302.78/x
  3. Step 3: Cross multiply
    48,474.82x = 72,668.22 × 17,302.78
  4. Step 4: Simplify right side
    48,474.82x = 1,257,362,223.65
  5. Step 5: Solve for x
    x = 1,257,362,223.65/48,474.82
  6. Step 6: Final answer
    x = 25,938.46

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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.