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Finding the Fourth Proportional to 31,678.70, 47,518.04 and 9,491.58

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Solution

The fourth proportional to 31,678.70, 47,518.04 and 9,491.58 is: 14,237.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,678.70 : 47,518.04 = 9,491.58 : x
  2. Step 2: Convert to fraction form
    31,678.70/47,518.04 = 9,491.58/x
  3. Step 3: Cross multiply
    31,678.70x = 47,518.04 × 9,491.58
  4. Step 4: Simplify right side
    31,678.70x = 451,021,301.83
  5. Step 5: Solve for x
    x = 451,021,301.83/31,678.70
  6. Step 6: Final answer
    x = 14,237.37

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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.