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Finding the Fourth Proportional to 76,478.54, 114,717.81 and 23,892.17

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Solution

The fourth proportional to 76,478.54, 114,717.81 and 23,892.17 is: 35,838.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,478.54 : 114,717.81 = 23,892.17 : x
  2. Step 2: Convert to fraction form
    76,478.54/114,717.81 = 23,892.17/x
  3. Step 3: Cross multiply
    76,478.54x = 114,717.81 × 23,892.17
  4. Step 4: Simplify right side
    76,478.54x = 2,740,857,418.55
  5. Step 5: Solve for x
    x = 2,740,857,418.55/76,478.54
  6. Step 6: Final answer
    x = 35,838.26

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1.5x scale

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.