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Finding the Fourth Proportional to 32,706.38, 49,060.76 and 11,647.97

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Solution

The fourth proportional to 32,706.38, 49,060.76 and 11,647.97 is: 17,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,706.38 : 49,060.76 = 11,647.97 : x
  2. Step 2: Convert to fraction form
    32,706.38/49,060.76 = 11,647.97/x
  3. Step 3: Cross multiply
    32,706.38x = 49,060.76 × 11,647.97
  4. Step 4: Simplify right side
    32,706.38x = 571,457,957.11
  5. Step 5: Solve for x
    x = 571,457,957.11/32,706.38
  6. Step 6: Final answer
    x = 17,472.37

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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.