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Finding the Fourth Proportional to 41,762.62, 57,633.42 and 22,899.88

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Solution

The fourth proportional to 41,762.62, 57,633.42 and 22,899.88 is: 31,602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,762.62 : 57,633.42 = 22,899.88 : x
  2. Step 2: Convert to fraction form
    41,762.62/57,633.42 = 22,899.88/x
  3. Step 3: Cross multiply
    41,762.62x = 57,633.42 × 22,899.88
  4. Step 4: Simplify right side
    41,762.62x = 1,319,798,401.99
  5. Step 5: Solve for x
    x = 1,319,798,401.99/41,762.62
  6. Step 6: Final answer
    x = 31,602.39

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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.