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Finding the Fourth Proportional to 31,733.28, 47,598 and 8,359.68

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Solution

The fourth proportional to 31,733.28, 47,598 and 8,359.68 is: 12,539.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,733.28 : 47,598 = 8,359.68 : x
  2. Step 2: Convert to fraction form
    31,733.28/47,598 = 8,359.68/x
  3. Step 3: Cross multiply
    31,733.28x = 47,598 × 8,359.68
  4. Step 4: Simplify right side
    31,733.28x = 397,904,048.64
  5. Step 5: Solve for x
    x = 397,904,048.64/31,733.28
  6. Step 6: Final answer
    x = 12,539.01

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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.