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Finding the Fourth Proportional to 31,849.50, 47,774.36 and 9,663.06

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Solution

The fourth proportional to 31,849.50, 47,774.36 and 9,663.06 is: 14,494.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,849.50 : 47,774.36 = 9,663.06 : x
  2. Step 2: Convert to fraction form
    31,849.50/47,774.36 = 9,663.06/x
  3. Step 3: Cross multiply
    31,849.50x = 47,774.36 × 9,663.06
  4. Step 4: Simplify right side
    31,849.50x = 461,646,507.14
  5. Step 5: Solve for x
    x = 461,646,507.14/31,849.50
  6. Step 6: Final answer
    x = 14,494.62

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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.