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Finding the Fourth Proportional to 70,983.52, 106,499.88 and 31,568.32

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Solution

The fourth proportional to 70,983.52, 106,499.88 and 31,568.32 is: 47,363.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,983.52 : 106,499.88 = 31,568.32 : x
  2. Step 2: Convert to fraction form
    70,983.52/106,499.88 = 31,568.32/x
  3. Step 3: Cross multiply
    70,983.52x = 106,499.88 × 31,568.32
  4. Step 4: Simplify right side
    70,983.52x = 3,362,022,291.80
  5. Step 5: Solve for x
    x = 3,362,022,291.80/70,983.52
  6. Step 6: Final answer
    x = 47,363.42

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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.