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Finding the Fourth Proportional to 73,678.04, 101,649 and 48,198.92

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Solution

The fourth proportional to 73,678.04, 101,649 and 48,198.92 is: 66,497.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,678.04 : 101,649 = 48,198.92 : x
  2. Step 2: Convert to fraction form
    73,678.04/101,649 = 48,198.92/x
  3. Step 3: Cross multiply
    73,678.04x = 101,649 × 48,198.92
  4. Step 4: Simplify right side
    73,678.04x = 4,899,372,019.08
  5. Step 5: Solve for x
    x = 4,899,372,019.08/73,678.04
  6. Step 6: Final answer
    x = 66,497.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.