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Finding the Fourth Proportional to 30,843.12, 42,564 and 18,105.48

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Solution

The fourth proportional to 30,843.12, 42,564 and 18,105.48 is: 24,985.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.12 : 42,564 = 18,105.48 : x
  2. Step 2: Convert to fraction form
    30,843.12/42,564 = 18,105.48/x
  3. Step 3: Cross multiply
    30,843.12x = 42,564 × 18,105.48
  4. Step 4: Simplify right side
    30,843.12x = 770,641,650.72
  5. Step 5: Solve for x
    x = 770,641,650.72/30,843.12
  6. Step 6: Final answer
    x = 24,985.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.