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Finding the Fourth Proportional to 76,792.48, 115,158.56 and 23,468

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Solution

The fourth proportional to 76,792.48, 115,158.56 and 23,468 is: 35,192.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,792.48 : 115,158.56 = 23,468 : x
  2. Step 2: Convert to fraction form
    76,792.48/115,158.56 = 23,468/x
  3. Step 3: Cross multiply
    76,792.48x = 115,158.56 × 23,468
  4. Step 4: Simplify right side
    76,792.48x = 2,702,541,086.08
  5. Step 5: Solve for x
    x = 2,702,541,086.08/76,792.48
  6. Step 6: Final answer
    x = 35,192.78

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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.