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Finding the Fourth Proportional to 66,491.82, 99,658.40 and 30,905.06

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Solution

The fourth proportional to 66,491.82, 99,658.40 and 30,905.06 is: 46,320.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,491.82 : 99,658.40 = 30,905.06 : x
  2. Step 2: Convert to fraction form
    66,491.82/99,658.40 = 30,905.06/x
  3. Step 3: Cross multiply
    66,491.82x = 99,658.40 × 30,905.06
  4. Step 4: Simplify right side
    66,491.82x = 3,079,948,178.69
  5. Step 5: Solve for x
    x = 3,079,948,178.69/66,491.82
  6. Step 6: Final answer
    x = 46,320.71

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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.