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Finding the Fourth Proportional to 38,042.44, 52,480.82 and 24,618

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Solution

The fourth proportional to 38,042.44, 52,480.82 and 24,618 is: 33,961.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,042.44 : 52,480.82 = 24,618 : x
  2. Step 2: Convert to fraction form
    38,042.44/52,480.82 = 24,618/x
  3. Step 3: Cross multiply
    38,042.44x = 52,480.82 × 24,618
  4. Step 4: Simplify right side
    38,042.44x = 1,291,972,826.76
  5. Step 5: Solve for x
    x = 1,291,972,826.76/38,042.44
  6. Step 6: Final answer
    x = 33,961.36

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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.