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Finding the Fourth Proportional to 42,891.64, 64,266.31 and 30,349.50

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Solution

The fourth proportional to 42,891.64, 64,266.31 and 30,349.50 is: 45,473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,891.64 : 64,266.31 = 30,349.50 : x
  2. Step 2: Convert to fraction form
    42,891.64/64,266.31 = 30,349.50/x
  3. Step 3: Cross multiply
    42,891.64x = 64,266.31 × 30,349.50
  4. Step 4: Simplify right side
    42,891.64x = 1,950,450,375.35
  5. Step 5: Solve for x
    x = 1,950,450,375.35/42,891.64
  6. Step 6: Final answer
    x = 45,473.91

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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.