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Finding the Fourth Proportional to 64,201.94, 96,268.11 and 35,747.66

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Solution

The fourth proportional to 64,201.94, 96,268.11 and 35,747.66 is: 53,602.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,201.94 : 96,268.11 = 35,747.66 : x
  2. Step 2: Convert to fraction form
    64,201.94/96,268.11 = 35,747.66/x
  3. Step 3: Cross multiply
    64,201.94x = 96,268.11 × 35,747.66
  4. Step 4: Simplify right side
    64,201.94x = 3,441,359,665.12
  5. Step 5: Solve for x
    x = 3,441,359,665.12/64,201.94
  6. Step 6: Final answer
    x = 53,602.11

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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.