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Finding the Fourth Proportional to 29,677.05, 40,963.86 and 19,614.42

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Solution

The fourth proportional to 29,677.05, 40,963.86 and 19,614.42 is: 27,074.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,677.05 : 40,963.86 = 19,614.42 : x
  2. Step 2: Convert to fraction form
    29,677.05/40,963.86 = 19,614.42/x
  3. Step 3: Cross multiply
    29,677.05x = 40,963.86 × 19,614.42
  4. Step 4: Simplify right side
    29,677.05x = 803,482,354.86
  5. Step 5: Solve for x
    x = 803,482,354.86/29,677.05
  6. Step 6: Final answer
    x = 27,074.20

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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.