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Finding the Fourth Proportional to 42,295.30, 63,351.62 and 39,811

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Solution

The fourth proportional to 42,295.30, 63,351.62 and 39,811 is: 59,630.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,295.30 : 63,351.62 = 39,811 : x
  2. Step 2: Convert to fraction form
    42,295.30/63,351.62 = 39,811/x
  3. Step 3: Cross multiply
    42,295.30x = 63,351.62 × 39,811
  4. Step 4: Simplify right side
    42,295.30x = 2,522,091,343.82
  5. Step 5: Solve for x
    x = 2,522,091,343.82/42,295.30
  6. Step 6: Final answer
    x = 59,630.53

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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.