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Finding the Fourth Proportional to 54,797.70, 82,196.55 and 31,404.90

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Solution

The fourth proportional to 54,797.70, 82,196.55 and 31,404.90 is: 47,107.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,797.70 : 82,196.55 = 31,404.90 : x
  2. Step 2: Convert to fraction form
    54,797.70/82,196.55 = 31,404.90/x
  3. Step 3: Cross multiply
    54,797.70x = 82,196.55 × 31,404.90
  4. Step 4: Simplify right side
    54,797.70x = 2,581,374,433.10
  5. Step 5: Solve for x
    x = 2,581,374,433.10/54,797.70
  6. Step 6: Final answer
    x = 47,107.35

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1.5x scale

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.