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Finding the Fourth Proportional to 34,781.34, 47,998.25 and 19,673.68

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Solution

The fourth proportional to 34,781.34, 47,998.25 and 19,673.68 is: 27,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,781.34 : 47,998.25 = 19,673.68 : x
  2. Step 2: Convert to fraction form
    34,781.34/47,998.25 = 19,673.68/x
  3. Step 3: Cross multiply
    34,781.34x = 47,998.25 × 19,673.68
  4. Step 4: Simplify right side
    34,781.34x = 944,302,267.13
  5. Step 5: Solve for x
    x = 944,302,267.13/34,781.34
  6. Step 6: Final answer
    x = 27,149.68

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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.