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Finding the Fourth Proportional to 38,024.82, 52,451.82 and 23,853.06

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Solution

The fourth proportional to 38,024.82, 52,451.82 and 23,853.06 is: 32,903.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,024.82 : 52,451.82 = 23,853.06 : x
  2. Step 2: Convert to fraction form
    38,024.82/52,451.82 = 23,853.06/x
  3. Step 3: Cross multiply
    38,024.82x = 52,451.82 × 23,853.06
  4. Step 4: Simplify right side
    38,024.82x = 1,251,136,409.57
  5. Step 5: Solve for x
    x = 1,251,136,409.57/38,024.82
  6. Step 6: Final answer
    x = 32,903.15

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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.