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Finding the Fourth Proportional to 34,406.49, 47,460.78 and 21,639.41

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Solution

The fourth proportional to 34,406.49, 47,460.78 and 21,639.41 is: 29,849.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,406.49 : 47,460.78 = 21,639.41 : x
  2. Step 2: Convert to fraction form
    34,406.49/47,460.78 = 21,639.41/x
  3. Step 3: Cross multiply
    34,406.49x = 47,460.78 × 21,639.41
  4. Step 4: Simplify right side
    34,406.49x = 1,027,023,040.04
  5. Step 5: Solve for x
    x = 1,027,023,040.04/34,406.49
  6. Step 6: Final answer
    x = 29,849.69

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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.