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Finding the Fourth Proportional to 32,476.67, 48,715.24 and 9,103.11

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Solution

The fourth proportional to 32,476.67, 48,715.24 and 9,103.11 is: 13,654.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,476.67 : 48,715.24 = 9,103.11 : x
  2. Step 2: Convert to fraction form
    32,476.67/48,715.24 = 9,103.11/x
  3. Step 3: Cross multiply
    32,476.67x = 48,715.24 × 9,103.11
  4. Step 4: Simplify right side
    32,476.67x = 443,460,188.40
  5. Step 5: Solve for x
    x = 443,460,188.40/32,476.67
  6. Step 6: Final answer
    x = 13,654.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.