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Finding the Fourth Proportional to 47,764.08, 65,913.84 and 27,620.40

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Solution

The fourth proportional to 47,764.08, 65,913.84 and 27,620.40 is: 38,115.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,764.08 : 65,913.84 = 27,620.40 : x
  2. Step 2: Convert to fraction form
    47,764.08/65,913.84 = 27,620.40/x
  3. Step 3: Cross multiply
    47,764.08x = 65,913.84 × 27,620.40
  4. Step 4: Simplify right side
    47,764.08x = 1,820,566,626.34
  5. Step 5: Solve for x
    x = 1,820,566,626.34/47,764.08
  6. Step 6: Final answer
    x = 38,115.81

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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.