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Finding the Fourth Proportional to 73,706, 101,717.08 and 40,172

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Solution

The fourth proportional to 73,706, 101,717.08 and 40,172 is: 55,438.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,706 : 101,717.08 = 40,172 : x
  2. Step 2: Convert to fraction form
    73,706/101,717.08 = 40,172/x
  3. Step 3: Cross multiply
    73,706x = 101,717.08 × 40,172
  4. Step 4: Simplify right side
    73,706x = 4,086,178,537.76
  5. Step 5: Solve for x
    x = 4,086,178,537.76/73,706
  6. Step 6: Final answer
    x = 55,438.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.