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Finding the Fourth Proportional to 34,057.74, 47,006.17 and 21,316.86

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Solution

The fourth proportional to 34,057.74, 47,006.17 and 21,316.86 is: 29,421.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,057.74 : 47,006.17 = 21,316.86 : x
  2. Step 2: Convert to fraction form
    34,057.74/47,006.17 = 21,316.86/x
  3. Step 3: Cross multiply
    34,057.74x = 47,006.17 × 21,316.86
  4. Step 4: Simplify right side
    34,057.74x = 1,002,023,945.03
  5. Step 5: Solve for x
    x = 1,002,023,945.03/34,057.74
  6. Step 6: Final answer
    x = 29,421.33

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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.