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Finding the Fourth Proportional to 66,197.97, 91,354.32 and 37,903.44

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Solution

The fourth proportional to 66,197.97, 91,354.32 and 37,903.44 is: 52,307.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,197.97 : 91,354.32 = 37,903.44 : x
  2. Step 2: Convert to fraction form
    66,197.97/91,354.32 = 37,903.44/x
  3. Step 3: Cross multiply
    66,197.97x = 91,354.32 × 37,903.44
  4. Step 4: Simplify right side
    66,197.97x = 3,462,642,986.86
  5. Step 5: Solve for x
    x = 3,462,642,986.86/66,197.97
  6. Step 6: Final answer
    x = 52,307.39

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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.