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Finding the Fourth Proportional to 47,199.12, 65,134.80 and 25,978.38

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Solution

The fourth proportional to 47,199.12, 65,134.80 and 25,978.38 is: 35,850.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,199.12 : 65,134.80 = 25,978.38 : x
  2. Step 2: Convert to fraction form
    47,199.12/65,134.80 = 25,978.38/x
  3. Step 3: Cross multiply
    47,199.12x = 65,134.80 × 25,978.38
  4. Step 4: Simplify right side
    47,199.12x = 1,692,096,585.62
  5. Step 5: Solve for x
    x = 1,692,096,585.62/47,199.12
  6. Step 6: Final answer
    x = 35,850.17

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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.