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Finding the Fourth Proportional to 53,365, 73,645.17 and 29,493.22

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Solution

The fourth proportional to 53,365, 73,645.17 and 29,493.22 is: 40,701.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,365 : 73,645.17 = 29,493.22 : x
  2. Step 2: Convert to fraction form
    53,365/73,645.17 = 29,493.22/x
  3. Step 3: Cross multiply
    53,365x = 73,645.17 × 29,493.22
  4. Step 4: Simplify right side
    53,365x = 2,172,033,200.75
  5. Step 5: Solve for x
    x = 2,172,033,200.75/53,365
  6. Step 6: Final answer
    x = 40,701.46

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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.