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Finding the Fourth Proportional to 34,107.49, 47,069.65 and 19,767.81

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Solution

The fourth proportional to 34,107.49, 47,069.65 and 19,767.81 is: 27,280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,107.49 : 47,069.65 = 19,767.81 : x
  2. Step 2: Convert to fraction form
    34,107.49/47,069.65 = 19,767.81/x
  3. Step 3: Cross multiply
    34,107.49x = 47,069.65 × 19,767.81
  4. Step 4: Simplify right side
    34,107.49x = 930,463,897.97
  5. Step 5: Solve for x
    x = 930,463,897.97/34,107.49
  6. Step 6: Final answer
    x = 27,280.34

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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.