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Finding the Fourth Proportional to 70,988.96, 106,460.41 and 23,591.32

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Solution

The fourth proportional to 70,988.96, 106,460.41 and 23,591.32 is: 35,379.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,988.96 : 106,460.41 = 23,591.32 : x
  2. Step 2: Convert to fraction form
    70,988.96/106,460.41 = 23,591.32/x
  3. Step 3: Cross multiply
    70,988.96x = 106,460.41 × 23,591.32
  4. Step 4: Simplify right side
    70,988.96x = 2,511,541,385.10
  5. Step 5: Solve for x
    x = 2,511,541,385.10/70,988.96
  6. Step 6: Final answer
    x = 35,379.32

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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.