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Finding the Fourth Proportional to 29,672.49, 40,948.14 and 16,243.86

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Solution

The fourth proportional to 29,672.49, 40,948.14 and 16,243.86 is: 22,416.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,672.49 : 40,948.14 = 16,243.86 : x
  2. Step 2: Convert to fraction form
    29,672.49/40,948.14 = 16,243.86/x
  3. Step 3: Cross multiply
    29,672.49x = 40,948.14 × 16,243.86
  4. Step 4: Simplify right side
    29,672.49x = 665,155,853.42
  5. Step 5: Solve for x
    x = 665,155,853.42/29,672.49
  6. Step 6: Final answer
    x = 22,416.58

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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.