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Finding the Fourth Proportional to 53,175.36, 73,381.14 and 32,766.60

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Solution

The fourth proportional to 53,175.36, 73,381.14 and 32,766.60 is: 45,217.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,175.36 : 73,381.14 = 32,766.60 : x
  2. Step 2: Convert to fraction form
    53,175.36/73,381.14 = 32,766.60/x
  3. Step 3: Cross multiply
    53,175.36x = 73,381.14 × 32,766.60
  4. Step 4: Simplify right side
    53,175.36x = 2,404,450,461.92
  5. Step 5: Solve for x
    x = 2,404,450,461.92/53,175.36
  6. Step 6: Final answer
    x = 45,217.38

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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.