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Finding the Fourth Proportional to 37,699.13, 52,022.77 and 21,566.77

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Solution

The fourth proportional to 37,699.13, 52,022.77 and 21,566.77 is: 29,760.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,699.13 : 52,022.77 = 21,566.77 : x
  2. Step 2: Convert to fraction form
    37,699.13/52,022.77 = 21,566.77/x
  3. Step 3: Cross multiply
    37,699.13x = 52,022.77 × 21,566.77
  4. Step 4: Simplify right side
    37,699.13x = 1,121,962,931.38
  5. Step 5: Solve for x
    x = 1,121,962,931.38/37,699.13
  6. Step 6: Final answer
    x = 29,760.97

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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.