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Finding the Fourth Proportional to 42,884.50, 64,310.94 and 14,797.38

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Solution

The fourth proportional to 42,884.50, 64,310.94 and 14,797.38 is: 22,190.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,884.50 : 64,310.94 = 14,797.38 : x
  2. Step 2: Convert to fraction form
    42,884.50/64,310.94 = 14,797.38/x
  3. Step 3: Cross multiply
    42,884.50x = 64,310.94 × 14,797.38
  4. Step 4: Simplify right side
    42,884.50x = 951,633,417.34
  5. Step 5: Solve for x
    x = 951,633,417.34/42,884.50
  6. Step 6: Final answer
    x = 22,190.61

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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.