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Finding the Fourth Proportional to 29,977.71, 41,370.29 and 16,549.46

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Solution

The fourth proportional to 29,977.71, 41,370.29 and 16,549.46 is: 22,838.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,977.71 : 41,370.29 = 16,549.46 : x
  2. Step 2: Convert to fraction form
    29,977.71/41,370.29 = 16,549.46/x
  3. Step 3: Cross multiply
    29,977.71x = 41,370.29 × 16,549.46
  4. Step 4: Simplify right side
    29,977.71x = 684,655,959.54
  5. Step 5: Solve for x
    x = 684,655,959.54/29,977.71
  6. Step 6: Final answer
    x = 22,838.83

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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.