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Finding the Fourth Proportional to 57,392.85, 86,111.14 and 51,826.94

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Solution

The fourth proportional to 57,392.85, 86,111.14 and 51,826.94 is: 77,760.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,392.85 : 86,111.14 = 51,826.94 : x
  2. Step 2: Convert to fraction form
    57,392.85/86,111.14 = 51,826.94/x
  3. Step 3: Cross multiply
    57,392.85x = 86,111.14 × 51,826.94
  4. Step 4: Simplify right side
    57,392.85x = 4,462,876,455.56
  5. Step 5: Solve for x
    x = 4,462,876,455.56/57,392.85
  6. Step 6: Final answer
    x = 77,760.15

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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.