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Finding the Fourth Proportional to 32,492.43, 48,739.05 and 11,433.11

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Solution

The fourth proportional to 32,492.43, 48,739.05 and 11,433.11 is: 17,149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,492.43 : 48,739.05 = 11,433.11 : x
  2. Step 2: Convert to fraction form
    32,492.43/48,739.05 = 11,433.11/x
  3. Step 3: Cross multiply
    32,492.43x = 48,739.05 × 11,433.11
  4. Step 4: Simplify right side
    32,492.43x = 557,238,676.25
  5. Step 5: Solve for x
    x = 557,238,676.25/32,492.43
  6. Step 6: Final answer
    x = 17,149.80

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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.