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Finding the Fourth Proportional to 42,754.67, 64,097.43 and 17,813.49

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Solution

The fourth proportional to 42,754.67, 64,097.43 and 17,813.49 is: 26,705.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,754.67 : 64,097.43 = 17,813.49 : x
  2. Step 2: Convert to fraction form
    42,754.67/64,097.43 = 17,813.49/x
  3. Step 3: Cross multiply
    42,754.67x = 64,097.43 × 17,813.49
  4. Step 4: Simplify right side
    42,754.67x = 1,141,798,928.33
  5. Step 5: Solve for x
    x = 1,141,798,928.33/42,754.67
  6. Step 6: Final answer
    x = 26,705.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.