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Finding the Fourth Proportional to 48,102.69, 66,379.80 and 27,958.62

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Solution

The fourth proportional to 48,102.69, 66,379.80 and 27,958.62 is: 38,581.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,102.69 : 66,379.80 = 27,958.62 : x
  2. Step 2: Convert to fraction form
    48,102.69/66,379.80 = 27,958.62/x
  3. Step 3: Cross multiply
    48,102.69x = 66,379.80 × 27,958.62
  4. Step 4: Simplify right side
    48,102.69x = 1,855,887,603.88
  5. Step 5: Solve for x
    x = 1,855,887,603.88/48,102.69
  6. Step 6: Final answer
    x = 38,581.78

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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.