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Finding the Fourth Proportional to 67,856.28, 101,831.94 and 28,423.32

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Solution

The fourth proportional to 67,856.28, 101,831.94 and 28,423.32 is: 42,654.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,856.28 : 101,831.94 = 28,423.32 : x
  2. Step 2: Convert to fraction form
    67,856.28/101,831.94 = 28,423.32/x
  3. Step 3: Cross multiply
    67,856.28x = 101,831.94 × 28,423.32
  4. Step 4: Simplify right side
    67,856.28x = 2,894,401,816.84
  5. Step 5: Solve for x
    x = 2,894,401,816.84/67,856.28
  6. Step 6: Final answer
    x = 42,654.88

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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.