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Finding the Fourth Proportional to 34,024.24, 50,978.04 and 27,025.84

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Solution

The fourth proportional to 34,024.24, 50,978.04 and 27,025.84 is: 40,492.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,024.24 : 50,978.04 = 27,025.84 : x
  2. Step 2: Convert to fraction form
    34,024.24/50,978.04 = 27,025.84/x
  3. Step 3: Cross multiply
    34,024.24x = 50,978.04 × 27,025.84
  4. Step 4: Simplify right side
    34,024.24x = 1,377,724,352.55
  5. Step 5: Solve for x
    x = 1,377,724,352.55/34,024.24
  6. Step 6: Final answer
    x = 40,492.44

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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.