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Finding the Fourth Proportional to 38,142.96, 52,625.05 and 23,040.10

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Solution

The fourth proportional to 38,142.96, 52,625.05 and 23,040.10 is: 31,787.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,142.96 : 52,625.05 = 23,040.10 : x
  2. Step 2: Convert to fraction form
    38,142.96/52,625.05 = 23,040.10/x
  3. Step 3: Cross multiply
    38,142.96x = 52,625.05 × 23,040.10
  4. Step 4: Simplify right side
    38,142.96x = 1,212,486,414.51
  5. Step 5: Solve for x
    x = 1,212,486,414.51/38,142.96
  6. Step 6: Final answer
    x = 31,787.95

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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.