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Finding the Fourth Proportional to 32,353.52, 48,541.95 and 11,296.66

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Solution

The fourth proportional to 32,353.52, 48,541.95 and 11,296.66 is: 16,949.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,353.52 : 48,541.95 = 11,296.66 : x
  2. Step 2: Convert to fraction form
    32,353.52/48,541.95 = 11,296.66/x
  3. Step 3: Cross multiply
    32,353.52x = 48,541.95 × 11,296.66
  4. Step 4: Simplify right side
    32,353.52x = 548,361,874.55
  5. Step 5: Solve for x
    x = 548,361,874.55/32,353.52
  6. Step 6: Final answer
    x = 16,949.07

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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.