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Finding the Fourth Proportional to 31,506.89, 47,269.57 and 9,320.86

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Solution

The fourth proportional to 31,506.89, 47,269.57 and 9,320.86 is: 13,984.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,506.89 : 47,269.57 = 9,320.86 : x
  2. Step 2: Convert to fraction form
    31,506.89/47,269.57 = 9,320.86/x
  3. Step 3: Cross multiply
    31,506.89x = 47,269.57 × 9,320.86
  4. Step 4: Simplify right side
    31,506.89x = 440,593,044.23
  5. Step 5: Solve for x
    x = 440,593,044.23/31,506.89
  6. Step 6: Final answer
    x = 13,984.02

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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.