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Finding the Fourth Proportional to 31,923.48, 47,885.20 and 8,549.32

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Solution

The fourth proportional to 31,923.48, 47,885.20 and 8,549.32 is: 12,823.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,923.48 : 47,885.20 = 8,549.32 : x
  2. Step 2: Convert to fraction form
    31,923.48/47,885.20 = 8,549.32/x
  3. Step 3: Cross multiply
    31,923.48x = 47,885.20 × 8,549.32
  4. Step 4: Simplify right side
    31,923.48x = 409,385,898.06
  5. Step 5: Solve for x
    x = 409,385,898.06/31,923.48
  6. Step 6: Final answer
    x = 12,823.97

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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.