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Finding the Fourth Proportional to 29,678.48, 40,956.17 and 16,066.49

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Solution

The fourth proportional to 29,678.48, 40,956.17 and 16,066.49 is: 22,171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,678.48 : 40,956.17 = 16,066.49 : x
  2. Step 2: Convert to fraction form
    29,678.48/40,956.17 = 16,066.49/x
  3. Step 3: Cross multiply
    29,678.48x = 40,956.17 × 16,066.49
  4. Step 4: Simplify right side
    29,678.48x = 658,021,610.63
  5. Step 5: Solve for x
    x = 658,021,610.63/29,678.48
  6. Step 6: Final answer
    x = 22,171.68

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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.