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Finding the Fourth Proportional to 42,874.80, 64,197 and 34,944.92

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Solution

The fourth proportional to 42,874.80, 64,197 and 34,944.92 is: 52,323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,874.80 : 64,197 = 34,944.92 : x
  2. Step 2: Convert to fraction form
    42,874.80/64,197 = 34,944.92/x
  3. Step 3: Cross multiply
    42,874.80x = 64,197 × 34,944.92
  4. Step 4: Simplify right side
    42,874.80x = 2,243,359,029.24
  5. Step 5: Solve for x
    x = 2,243,359,029.24/42,874.80
  6. Step 6: Final answer
    x = 52,323.49

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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.