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Finding the Fourth Proportional to 70,314.76, 105,473.22 and 28,198.54

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Solution

The fourth proportional to 70,314.76, 105,473.22 and 28,198.54 is: 42,298.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,314.76 : 105,473.22 = 28,198.54 : x
  2. Step 2: Convert to fraction form
    70,314.76/105,473.22 = 28,198.54/x
  3. Step 3: Cross multiply
    70,314.76x = 105,473.22 × 28,198.54
  4. Step 4: Simplify right side
    70,314.76x = 2,974,190,813.10
  5. Step 5: Solve for x
    x = 2,974,190,813.10/70,314.76
  6. Step 6: Final answer
    x = 42,298.24

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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.