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Finding the Fourth Proportional to 42,871.25, 64,311.33 and 11,706.50

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Solution

The fourth proportional to 42,871.25, 64,311.33 and 11,706.50 is: 17,560.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,871.25 : 64,311.33 = 11,706.50 : x
  2. Step 2: Convert to fraction form
    42,871.25/64,311.33 = 11,706.50/x
  3. Step 3: Cross multiply
    42,871.25x = 64,311.33 × 11,706.50
  4. Step 4: Simplify right side
    42,871.25x = 752,860,584.65
  5. Step 5: Solve for x
    x = 752,860,584.65/42,871.25
  6. Step 6: Final answer
    x = 17,560.97

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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.