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Finding the Fourth Proportional to 38,424.72, 53,052.84 and 24,090.24

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Solution

The fourth proportional to 38,424.72, 53,052.84 and 24,090.24 is: 33,261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,424.72 : 53,052.84 = 24,090.24 : x
  2. Step 2: Convert to fraction form
    38,424.72/53,052.84 = 24,090.24/x
  3. Step 3: Cross multiply
    38,424.72x = 53,052.84 × 24,090.24
  4. Step 4: Simplify right side
    38,424.72x = 1,278,055,648.28
  5. Step 5: Solve for x
    x = 1,278,055,648.28/38,424.72
  6. Step 6: Final answer
    x = 33,261.29

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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.