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Finding the Fourth Proportional to 76,841.31, 115,192.19 and 26,894.16

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Solution

The fourth proportional to 76,841.31, 115,192.19 and 26,894.16 is: 40,316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,841.31 : 115,192.19 = 26,894.16 : x
  2. Step 2: Convert to fraction form
    76,841.31/115,192.19 = 26,894.16/x
  3. Step 3: Cross multiply
    76,841.31x = 115,192.19 × 26,894.16
  4. Step 4: Simplify right side
    76,841.31x = 3,097,997,255.85
  5. Step 5: Solve for x
    x = 3,097,997,255.85/76,841.31
  6. Step 6: Final answer
    x = 40,316.82

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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.