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Finding the Fourth Proportional to 57,275.82, 85,892.67 and 19,826.28

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Solution

The fourth proportional to 57,275.82, 85,892.67 and 19,826.28 is: 29,732.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,275.82 : 85,892.67 = 19,826.28 : x
  2. Step 2: Convert to fraction form
    57,275.82/85,892.67 = 19,826.28/x
  3. Step 3: Cross multiply
    57,275.82x = 85,892.67 × 19,826.28
  4. Step 4: Simplify right side
    57,275.82x = 1,702,932,125.37
  5. Step 5: Solve for x
    x = 1,702,932,125.37/57,275.82
  6. Step 6: Final answer
    x = 29,732.13

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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.