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Finding the Fourth Proportional to 31,678.56, 47,526.06 and 9,491.46

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Solution

The fourth proportional to 31,678.56, 47,526.06 and 9,491.46 is: 14,239.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,678.56 : 47,526.06 = 9,491.46 : x
  2. Step 2: Convert to fraction form
    31,678.56/47,526.06 = 9,491.46/x
  3. Step 3: Cross multiply
    31,678.56x = 47,526.06 × 9,491.46
  4. Step 4: Simplify right side
    31,678.56x = 451,091,697.45
  5. Step 5: Solve for x
    x = 451,091,697.45/31,678.56
  6. Step 6: Final answer
    x = 14,239.65

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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.