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Finding the Fourth Proportional to 61,129.94, 91,695.24 and 27,826.71

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Solution

The fourth proportional to 61,129.94, 91,695.24 and 27,826.71 is: 41,740.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,129.94 : 91,695.24 = 27,826.71 : x
  2. Step 2: Convert to fraction form
    61,129.94/91,695.24 = 27,826.71/x
  3. Step 3: Cross multiply
    61,129.94x = 91,695.24 × 27,826.71
  4. Step 4: Simplify right side
    61,129.94x = 2,551,576,851.86
  5. Step 5: Solve for x
    x = 2,551,576,851.86/61,129.94
  6. Step 6: Final answer
    x = 41,740.22

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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.