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Finding the Fourth Proportional to 31,532.98, 47,304.34 and 9,349.78

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Solution

The fourth proportional to 31,532.98, 47,304.34 and 9,349.78 is: 14,026.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,532.98 : 47,304.34 = 9,349.78 : x
  2. Step 2: Convert to fraction form
    31,532.98/47,304.34 = 9,349.78/x
  3. Step 3: Cross multiply
    31,532.98x = 47,304.34 × 9,349.78
  4. Step 4: Simplify right side
    31,532.98x = 442,285,172.05
  5. Step 5: Solve for x
    x = 442,285,172.05/31,532.98
  6. Step 6: Final answer
    x = 14,026.11

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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.