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Finding the Fourth Proportional to 29,471.41, 40,669.53 and 16,042.42

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Solution

The fourth proportional to 29,471.41, 40,669.53 and 16,042.42 is: 22,137.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,471.41 : 40,669.53 = 16,042.42 : x
  2. Step 2: Convert to fraction form
    29,471.41/40,669.53 = 16,042.42/x
  3. Step 3: Cross multiply
    29,471.41x = 40,669.53 × 16,042.42
  4. Step 4: Simplify right side
    29,471.41x = 652,437,681.46
  5. Step 5: Solve for x
    x = 652,437,681.46/29,471.41
  6. Step 6: Final answer
    x = 22,137.99

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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.