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Finding the Fourth Proportional to 115,714.56, 173,585.52 and 40,819.08

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Solution

The fourth proportional to 115,714.56, 173,585.52 and 40,819.08 is: 61,233.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,714.56 : 173,585.52 = 40,819.08 : x
  2. Step 2: Convert to fraction form
    115,714.56/173,585.52 = 40,819.08/x
  3. Step 3: Cross multiply
    115,714.56x = 173,585.52 × 40,819.08
  4. Step 4: Simplify right side
    115,714.56x = 7,085,601,227.72
  5. Step 5: Solve for x
    x = 7,085,601,227.72/115,714.56
  6. Step 6: Final answer
    x = 61,233.45

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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.