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Finding the Fourth Proportional to 32,010.88, 47,983.50 and 12,284.14

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Solution

The fourth proportional to 32,010.88, 47,983.50 and 12,284.14 is: 18,413.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,010.88 : 47,983.50 = 12,284.14 : x
  2. Step 2: Convert to fraction form
    32,010.88/47,983.50 = 12,284.14/x
  3. Step 3: Cross multiply
    32,010.88x = 47,983.50 × 12,284.14
  4. Step 4: Simplify right side
    32,010.88x = 589,436,031.69
  5. Step 5: Solve for x
    x = 589,436,031.69/32,010.88
  6. Step 6: Final answer
    x = 18,413.62

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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.