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Finding the Fourth Proportional to 37,668.63, 51,980.90 and 22,561.93

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Solution

The fourth proportional to 37,668.63, 51,980.90 and 22,561.93 is: 31,134.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,668.63 : 51,980.90 = 22,561.93 : x
  2. Step 2: Convert to fraction form
    37,668.63/51,980.90 = 22,561.93/x
  3. Step 3: Cross multiply
    37,668.63x = 51,980.90 × 22,561.93
  4. Step 4: Simplify right side
    37,668.63x = 1,172,789,427.14
  5. Step 5: Solve for x
    x = 1,172,789,427.14/37,668.63
  6. Step 6: Final answer
    x = 31,134.38

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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.