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Finding the Fourth Proportional to 67,983.71, 101,965.03 and 34,728.35

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Solution

The fourth proportional to 67,983.71, 101,965.03 and 34,728.35 is: 52,087.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,983.71 : 101,965.03 = 34,728.35 : x
  2. Step 2: Convert to fraction form
    67,983.71/101,965.03 = 34,728.35/x
  3. Step 3: Cross multiply
    67,983.71x = 101,965.03 × 34,728.35
  4. Step 4: Simplify right side
    67,983.71x = 3,541,076,652.95
  5. Step 5: Solve for x
    x = 3,541,076,652.95/67,983.71
  6. Step 6: Final answer
    x = 52,087.14

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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.