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Finding the Fourth Proportional to 57,117.81, 85,625.85 and 27,113.54

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Solution

The fourth proportional to 57,117.81, 85,625.85 and 27,113.54 is: 40,646.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,117.81 : 85,625.85 = 27,113.54 : x
  2. Step 2: Convert to fraction form
    57,117.81/85,625.85 = 27,113.54/x
  3. Step 3: Cross multiply
    57,117.81x = 85,625.85 × 27,113.54
  4. Step 4: Simplify right side
    57,117.81x = 2,321,619,582.56
  5. Step 5: Solve for x
    x = 2,321,619,582.56/57,117.81
  6. Step 6: Final answer
    x = 40,646.16

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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.