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Finding the Fourth Proportional to 66,104.64, 91,221.12 and 37,419.84

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Solution

The fourth proportional to 66,104.64, 91,221.12 and 37,419.84 is: 51,637.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,104.64 : 91,221.12 = 37,419.84 : x
  2. Step 2: Convert to fraction form
    66,104.64/91,221.12 = 37,419.84/x
  3. Step 3: Cross multiply
    66,104.64x = 91,221.12 × 37,419.84
  4. Step 4: Simplify right side
    66,104.64x = 3,413,479,715.02
  5. Step 5: Solve for x
    x = 3,413,479,715.02/66,104.64
  6. Step 6: Final answer
    x = 51,637.52

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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.