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Finding the Fourth Proportional to 31,674.54, 47,498.42 and 9,491.06

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Solution

The fourth proportional to 31,674.54, 47,498.42 and 9,491.06 is: 14,232.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,674.54 : 47,498.42 = 9,491.06 : x
  2. Step 2: Convert to fraction form
    31,674.54/47,498.42 = 9,491.06/x
  3. Step 3: Cross multiply
    31,674.54x = 47,498.42 × 9,491.06
  4. Step 4: Simplify right side
    31,674.54x = 450,810,354.13
  5. Step 5: Solve for x
    x = 450,810,354.13/31,674.54
  6. Step 6: Final answer
    x = 14,232.58

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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.