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Finding the Fourth Proportional to 31,552.47, 47,327.09 and 9,366.03

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Solution

The fourth proportional to 31,552.47, 47,327.09 and 9,366.03 is: 14,048.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,552.47 : 47,327.09 = 9,366.03 : x
  2. Step 2: Convert to fraction form
    31,552.47/47,327.09 = 9,366.03/x
  3. Step 3: Cross multiply
    31,552.47x = 47,327.09 × 9,366.03
  4. Step 4: Simplify right side
    31,552.47x = 443,266,897.92
  5. Step 5: Solve for x
    x = 443,266,897.92/31,552.47
  6. Step 6: Final answer
    x = 14,048.56

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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.