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Finding the Fourth Proportional to 37,613.54, 51,918.12 and 21,708.38

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Solution

The fourth proportional to 37,613.54, 51,918.12 and 21,708.38 is: 29,964.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,613.54 : 51,918.12 = 21,708.38 : x
  2. Step 2: Convert to fraction form
    37,613.54/51,918.12 = 21,708.38/x
  3. Step 3: Cross multiply
    37,613.54x = 51,918.12 × 21,708.38
  4. Step 4: Simplify right side
    37,613.54x = 1,127,058,277.85
  5. Step 5: Solve for x
    x = 1,127,058,277.85/37,613.54
  6. Step 6: Final answer
    x = 29,964.16

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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.