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Finding the Fourth Proportional to 32,604.70, 48,898.02 and 11,541.97

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Solution

The fourth proportional to 32,604.70, 48,898.02 and 11,541.97 is: 17,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,604.70 : 48,898.02 = 11,541.97 : x
  2. Step 2: Convert to fraction form
    32,604.70/48,898.02 = 11,541.97/x
  3. Step 3: Cross multiply
    32,604.70x = 48,898.02 × 11,541.97
  4. Step 4: Simplify right side
    32,604.70x = 564,379,414.32
  5. Step 5: Solve for x
    x = 564,379,414.32/32,604.70
  6. Step 6: Final answer
    x = 17,309.76

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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.