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Finding the Fourth Proportional to 57,396.96, 86,095.44 and 27,809.76

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Solution

The fourth proportional to 57,396.96, 86,095.44 and 27,809.76 is: 41,714.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,396.96 : 86,095.44 = 27,809.76 : x
  2. Step 2: Convert to fraction form
    57,396.96/86,095.44 = 27,809.76/x
  3. Step 3: Cross multiply
    57,396.96x = 86,095.44 × 27,809.76
  4. Step 4: Simplify right side
    57,396.96x = 2,394,293,523.49
  5. Step 5: Solve for x
    x = 2,394,293,523.49/57,396.96
  6. Step 6: Final answer
    x = 41,714.64

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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.