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Finding the Fourth Proportional to 54,684.90, 82,027.35 and 31,294.80

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Solution

The fourth proportional to 54,684.90, 82,027.35 and 31,294.80 is: 46,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,684.90 : 82,027.35 = 31,294.80 : x
  2. Step 2: Convert to fraction form
    54,684.90/82,027.35 = 31,294.80/x
  3. Step 3: Cross multiply
    54,684.90x = 82,027.35 × 31,294.80
  4. Step 4: Simplify right side
    54,684.90x = 2,567,029,512.78
  5. Step 5: Solve for x
    x = 2,567,029,512.78/54,684.90
  6. Step 6: Final answer
    x = 46,942.20

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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.