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Finding the Fourth Proportional to 47,202.32, 65,105.02 and 32,068.55

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Solution

The fourth proportional to 47,202.32, 65,105.02 and 32,068.55 is: 44,231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,202.32 : 65,105.02 = 32,068.55 : x
  2. Step 2: Convert to fraction form
    47,202.32/65,105.02 = 32,068.55/x
  3. Step 3: Cross multiply
    47,202.32x = 65,105.02 × 32,068.55
  4. Step 4: Simplify right side
    47,202.32x = 2,087,823,589.12
  5. Step 5: Solve for x
    x = 2,087,823,589.12/47,202.32
  6. Step 6: Final answer
    x = 44,231.38

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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.