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Finding the Fourth Proportional to 31,632.99, 47,420.14 and 15,000.81

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Solution

The fourth proportional to 31,632.99, 47,420.14 and 15,000.81 is: 22,487.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,632.99 : 47,420.14 = 15,000.81 : x
  2. Step 2: Convert to fraction form
    31,632.99/47,420.14 = 15,000.81/x
  3. Step 3: Cross multiply
    31,632.99x = 47,420.14 × 15,000.81
  4. Step 4: Simplify right side
    31,632.99x = 711,340,510.31
  5. Step 5: Solve for x
    x = 711,340,510.31/31,632.99
  6. Step 6: Final answer
    x = 22,487.30

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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.