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Finding the Fourth Proportional to 42,847.71, 64,270.88 and 11,682.96

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Solution

The fourth proportional to 42,847.71, 64,270.88 and 11,682.96 is: 17,524.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,847.71 : 64,270.88 = 11,682.96 : x
  2. Step 2: Convert to fraction form
    42,847.71/64,270.88 = 11,682.96/x
  3. Step 3: Cross multiply
    42,847.71x = 64,270.88 × 11,682.96
  4. Step 4: Simplify right side
    42,847.71x = 750,874,061.79
  5. Step 5: Solve for x
    x = 750,874,061.79/42,847.71
  6. Step 6: Final answer
    x = 17,524.25

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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.