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Finding the Fourth Proportional to 29,471.40, 40,669.56 and 16,042.40

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Solution

The fourth proportional to 29,471.40, 40,669.56 and 16,042.40 is: 22,137.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,471.40 : 40,669.56 = 16,042.40 : x
  2. Step 2: Convert to fraction form
    29,471.40/40,669.56 = 16,042.40/x
  3. Step 3: Cross multiply
    29,471.40x = 40,669.56 × 16,042.40
  4. Step 4: Simplify right side
    29,471.40x = 652,437,349.34
  5. Step 5: Solve for x
    x = 652,437,349.34/29,471.40
  6. Step 6: Final answer
    x = 22,137.98

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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.