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Finding the Fourth Proportional to 52,323.78, 78,441.43 and 22,719.22

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Solution

The fourth proportional to 52,323.78, 78,441.43 and 22,719.22 is: 34,059.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,323.78 : 78,441.43 = 22,719.22 : x
  2. Step 2: Convert to fraction form
    52,323.78/78,441.43 = 22,719.22/x
  3. Step 3: Cross multiply
    52,323.78x = 78,441.43 × 22,719.22
  4. Step 4: Simplify right side
    52,323.78x = 1,782,128,105.28
  5. Step 5: Solve for x
    x = 1,782,128,105.28/52,323.78
  6. Step 6: Final answer
    x = 34,059.62

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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.