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Finding the Fourth Proportional to 67,017.76, 100,373.52 and 31,982.02

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Solution

The fourth proportional to 67,017.76, 100,373.52 and 31,982.02 is: 47,899.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,017.76 : 100,373.52 = 31,982.02 : x
  2. Step 2: Convert to fraction form
    67,017.76/100,373.52 = 31,982.02/x
  3. Step 3: Cross multiply
    67,017.76x = 100,373.52 × 31,982.02
  4. Step 4: Simplify right side
    67,017.76x = 3,210,147,924.11
  5. Step 5: Solve for x
    x = 3,210,147,924.11/67,017.76
  6. Step 6: Final answer
    x = 47,899.96

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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.