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Finding the Fourth Proportional to 53,615.85, 73,992.29 and 29,742.54

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Solution

The fourth proportional to 53,615.85, 73,992.29 and 29,742.54 is: 41,046.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,615.85 : 73,992.29 = 29,742.54 : x
  2. Step 2: Convert to fraction form
    53,615.85/73,992.29 = 29,742.54/x
  3. Step 3: Cross multiply
    53,615.85x = 73,992.29 × 29,742.54
  4. Step 4: Simplify right side
    53,615.85x = 2,200,718,645.02
  5. Step 5: Solve for x
    x = 2,200,718,645.02/53,615.85
  6. Step 6: Final answer
    x = 41,046.05

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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.