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Finding the Fourth Proportional to 31,484.88, 47,224.44 and 9,596.88

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Solution

The fourth proportional to 31,484.88, 47,224.44 and 9,596.88 is: 14,394.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,484.88 : 47,224.44 = 9,596.88 : x
  2. Step 2: Convert to fraction form
    31,484.88/47,224.44 = 9,596.88/x
  3. Step 3: Cross multiply
    31,484.88x = 47,224.44 × 9,596.88
  4. Step 4: Simplify right side
    31,484.88x = 453,207,283.75
  5. Step 5: Solve for x
    x = 453,207,283.75/31,484.88
  6. Step 6: Final answer
    x = 14,394.44

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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.