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Finding the Fourth Proportional to 115,442.64, 173,146.64 and 36,546.64

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Solution

The fourth proportional to 115,442.64, 173,146.64 and 36,546.64 is: 54,814.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,442.64 : 173,146.64 = 36,546.64 : x
  2. Step 2: Convert to fraction form
    115,442.64/173,146.64 = 36,546.64/x
  3. Step 3: Cross multiply
    115,442.64x = 173,146.64 × 36,546.64
  4. Step 4: Simplify right side
    115,442.64x = 6,327,927,919.29
  5. Step 5: Solve for x
    x = 6,327,927,919.29/115,442.64
  6. Step 6: Final answer
    x = 54,814.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.