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Finding the Fourth Proportional to 67,047.96, 100,593.80 and 31,983.06

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Solution

The fourth proportional to 67,047.96, 100,593.80 and 31,983.06 is: 47,985.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,047.96 : 100,593.80 = 31,983.06 : x
  2. Step 2: Convert to fraction form
    67,047.96/100,593.80 = 31,983.06/x
  3. Step 3: Cross multiply
    67,047.96x = 100,593.80 × 31,983.06
  4. Step 4: Simplify right side
    67,047.96x = 3,217,297,541.03
  5. Step 5: Solve for x
    x = 3,217,297,541.03/67,047.96
  6. Step 6: Final answer
    x = 47,985.02

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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.