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Finding the Fourth Proportional to 31,673.76, 47,506.98 and 8,302.02

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Solution

The fourth proportional to 31,673.76, 47,506.98 and 8,302.02 is: 12,452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,673.76 : 47,506.98 = 8,302.02 : x
  2. Step 2: Convert to fraction form
    31,673.76/47,506.98 = 8,302.02/x
  3. Step 3: Cross multiply
    31,673.76x = 47,506.98 × 8,302.02
  4. Step 4: Simplify right side
    31,673.76x = 394,403,898.10
  5. Step 5: Solve for x
    x = 394,403,898.10/31,673.76
  6. Step 6: Final answer
    x = 12,452.07

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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.