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Finding the Fourth Proportional to 68,015.10, 102,022.65 and 47,019.90

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Solution

The fourth proportional to 68,015.10, 102,022.65 and 47,019.90 is: 70,529.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,015.10 : 102,022.65 = 47,019.90 : x
  2. Step 2: Convert to fraction form
    68,015.10/102,022.65 = 47,019.90/x
  3. Step 3: Cross multiply
    68,015.10x = 102,022.65 × 47,019.90
  4. Step 4: Simplify right side
    68,015.10x = 4,797,094,800.74
  5. Step 5: Solve for x
    x = 4,797,094,800.74/68,015.10
  6. Step 6: Final answer
    x = 70,529.85

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1.5x scale

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.