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Finding the Fourth Proportional to 32,715.38, 49,086.03 and 11,953.46

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Solution

The fourth proportional to 32,715.38, 49,086.03 and 11,953.46 is: 17,934.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,715.38 : 49,086.03 = 11,953.46 : x
  2. Step 2: Convert to fraction form
    32,715.38/49,086.03 = 11,953.46/x
  3. Step 3: Cross multiply
    32,715.38x = 49,086.03 × 11,953.46
  4. Step 4: Simplify right side
    32,715.38x = 586,747,896.16
  5. Step 5: Solve for x
    x = 586,747,896.16/32,715.38
  6. Step 6: Final answer
    x = 17,934.93

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