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Finding the Fourth Proportional to 38,493.72, 53,119.86 and 24,161.22

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Solution

The fourth proportional to 38,493.72, 53,119.86 and 24,161.22 is: 33,341.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,493.72 : 53,119.86 = 24,161.22 : x
  2. Step 2: Convert to fraction form
    38,493.72/53,119.86 = 24,161.22/x
  3. Step 3: Cross multiply
    38,493.72x = 53,119.86 × 24,161.22
  4. Step 4: Simplify right side
    38,493.72x = 1,283,440,623.83
  5. Step 5: Solve for x
    x = 1,283,440,623.83/38,493.72
  6. Step 6: Final answer
    x = 33,341.56

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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.