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Finding the Fourth Proportional to 66,206.48, 91,365.54 and 35,991.86

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Solution

The fourth proportional to 66,206.48, 91,365.54 and 35,991.86 is: 49,669.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,206.48 : 91,365.54 = 35,991.86 : x
  2. Step 2: Convert to fraction form
    66,206.48/91,365.54 = 35,991.86/x
  3. Step 3: Cross multiply
    66,206.48x = 91,365.54 × 35,991.86
  4. Step 4: Simplify right side
    66,206.48x = 3,288,415,646.64
  5. Step 5: Solve for x
    x = 3,288,415,646.64/66,206.48
  6. Step 6: Final answer
    x = 49,669.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.