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Finding the Fourth Proportional to 34,646.97, 47,820.25 and 21,892.05

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Solution

The fourth proportional to 34,646.97, 47,820.25 and 21,892.05 is: 30,215.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,646.97 : 47,820.25 = 21,892.05 : x
  2. Step 2: Convert to fraction form
    34,646.97/47,820.25 = 21,892.05/x
  3. Step 3: Cross multiply
    34,646.97x = 47,820.25 × 21,892.05
  4. Step 4: Simplify right side
    34,646.97x = 1,046,883,135.31
  5. Step 5: Solve for x
    x = 1,046,883,135.31/34,646.97
  6. Step 6: Final answer
    x = 30,215.72

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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.