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Finding the Fourth Proportional to 57,214.76, 85,827.67 and 17,761.28

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Solution

The fourth proportional to 57,214.76, 85,827.67 and 17,761.28 is: 26,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,214.76 : 85,827.67 = 17,761.28 : x
  2. Step 2: Convert to fraction form
    57,214.76/85,827.67 = 17,761.28/x
  3. Step 3: Cross multiply
    57,214.76x = 85,827.67 × 17,761.28
  4. Step 4: Simplify right side
    57,214.76x = 1,524,409,278.62
  5. Step 5: Solve for x
    x = 1,524,409,278.62/57,214.76
  6. Step 6: Final answer
    x = 26,643.64

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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.