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Finding the Fourth Proportional to 57,102.51, 85,604.51 and 27,479.59

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Solution

The fourth proportional to 57,102.51, 85,604.51 and 27,479.59 is: 41,195.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,102.51 : 85,604.51 = 27,479.59 : x
  2. Step 2: Convert to fraction form
    57,102.51/85,604.51 = 27,479.59/x
  3. Step 3: Cross multiply
    57,102.51x = 85,604.51 × 27,479.59
  4. Step 4: Simplify right side
    57,102.51x = 2,352,376,699.55
  5. Step 5: Solve for x
    x = 2,352,376,699.55/57,102.51
  6. Step 6: Final answer
    x = 41,195.68

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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.