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Finding the Fourth Proportional to 47,077.47, 64,965.42 and 25,855.38

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Solution

The fourth proportional to 47,077.47, 64,965.42 and 25,855.38 is: 35,679.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,077.47 : 64,965.42 = 25,855.38 : x
  2. Step 2: Convert to fraction form
    47,077.47/64,965.42 = 25,855.38/x
  3. Step 3: Cross multiply
    47,077.47x = 64,965.42 × 25,855.38
  4. Step 4: Simplify right side
    47,077.47x = 1,679,705,620.96
  5. Step 5: Solve for x
    x = 1,679,705,620.96/47,077.47
  6. Step 6: Final answer
    x = 35,679.61

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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.