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Finding the Fourth Proportional to 31,940.64, 47,911.50 and 10,593.45

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Solution

The fourth proportional to 31,940.64, 47,911.50 and 10,593.45 is: 15,890.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,940.64 : 47,911.50 = 10,593.45 : x
  2. Step 2: Convert to fraction form
    31,940.64/47,911.50 = 10,593.45/x
  3. Step 3: Cross multiply
    31,940.64x = 47,911.50 × 10,593.45
  4. Step 4: Simplify right side
    31,940.64x = 507,548,079.68
  5. Step 5: Solve for x
    x = 507,548,079.68/31,940.64
  6. Step 6: Final answer
    x = 15,890.35

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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.