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Finding the Fourth Proportional to 37,699.38, 52,023.12 and 21,567.01

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Solution

The fourth proportional to 37,699.38, 52,023.12 and 21,567.01 is: 29,761.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,699.38 : 52,023.12 = 21,567.01 : x
  2. Step 2: Convert to fraction form
    37,699.38/52,023.12 = 21,567.01/x
  3. Step 3: Cross multiply
    37,699.38x = 52,023.12 × 21,567.01
  4. Step 4: Simplify right side
    37,699.38x = 1,121,983,149.27
  5. Step 5: Solve for x
    x = 1,121,983,149.27/37,699.38
  6. Step 6: Final answer
    x = 29,761.32

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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.