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Finding the Fourth Proportional to 65,201.30, 97,801.95 and 60,827.30

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Solution

The fourth proportional to 65,201.30, 97,801.95 and 60,827.30 is: 91,240.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,201.30 : 97,801.95 = 60,827.30 : x
  2. Step 2: Convert to fraction form
    65,201.30/97,801.95 = 60,827.30/x
  3. Step 3: Cross multiply
    65,201.30x = 97,801.95 × 60,827.30
  4. Step 4: Simplify right side
    65,201.30x = 5,949,028,553.24
  5. Step 5: Solve for x
    x = 5,949,028,553.24/65,201.30
  6. Step 6: Final answer
    x = 91,240.95

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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.