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Finding the Fourth Proportional to 37,564.69, 51,841.80 and 21,650.17

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Solution

The fourth proportional to 37,564.69, 51,841.80 and 21,650.17 is: 29,878.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,564.69 : 51,841.80 = 21,650.17 : x
  2. Step 2: Convert to fraction form
    37,564.69/51,841.80 = 21,650.17/x
  3. Step 3: Cross multiply
    37,564.69x = 51,841.80 × 21,650.17
  4. Step 4: Simplify right side
    37,564.69x = 1,122,383,783.11
  5. Step 5: Solve for x
    x = 1,122,383,783.11/37,564.69
  6. Step 6: Final answer
    x = 29,878.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.