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Finding the Fourth Proportional to 57,026, 85,574.64 and 27,446.96

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Solution

The fourth proportional to 57,026, 85,574.64 and 27,446.96 is: 41,187.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,026 : 85,574.64 = 27,446.96 : x
  2. Step 2: Convert to fraction form
    57,026/85,574.64 = 27,446.96/x
  3. Step 3: Cross multiply
    57,026x = 85,574.64 × 27,446.96
  4. Step 4: Simplify right side
    57,026x = 2,348,763,721.09
  5. Step 5: Solve for x
    x = 2,348,763,721.09/57,026
  6. Step 6: Final answer
    x = 41,187.59

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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.