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Finding the Fourth Proportional to 29,477.88, 40,678.20 and 16,049.21

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Solution

The fourth proportional to 29,477.88, 40,678.20 and 16,049.21 is: 22,147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,477.88 : 40,678.20 = 16,049.21 : x
  2. Step 2: Convert to fraction form
    29,477.88/40,678.20 = 16,049.21/x
  3. Step 3: Cross multiply
    29,477.88x = 40,678.20 × 16,049.21
  4. Step 4: Simplify right side
    29,477.88x = 652,852,770.83
  5. Step 5: Solve for x
    x = 652,852,770.83/29,477.88
  6. Step 6: Final answer
    x = 22,147.21

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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.