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Finding the Fourth Proportional to 31,236.61, 46,853.60 and 9,049.50

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Solution

The fourth proportional to 31,236.61, 46,853.60 and 9,049.50 is: 13,573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,236.61 : 46,853.60 = 9,049.50 : x
  2. Step 2: Convert to fraction form
    31,236.61/46,853.60 = 9,049.50/x
  3. Step 3: Cross multiply
    31,236.61x = 46,853.60 × 9,049.50
  4. Step 4: Simplify right side
    31,236.61x = 424,001,653.20
  5. Step 5: Solve for x
    x = 424,001,653.20/31,236.61
  6. Step 6: Final answer
    x = 13,573.87

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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.