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Finding the Fourth Proportional to 70,382.34, 105,589.44 and 23,634

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Solution

The fourth proportional to 70,382.34, 105,589.44 and 23,634 is: 35,456.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,382.34 : 105,589.44 = 23,634 : x
  2. Step 2: Convert to fraction form
    70,382.34/105,589.44 = 23,634/x
  3. Step 3: Cross multiply
    70,382.34x = 105,589.44 × 23,634
  4. Step 4: Simplify right side
    70,382.34x = 2,495,500,824.96
  5. Step 5: Solve for x
    x = 2,495,500,824.96/70,382.34
  6. Step 6: Final answer
    x = 35,456.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.