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Finding the Fourth Proportional to 37,793.64, 52,149.45 and 22,683

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Solution

The fourth proportional to 37,793.64, 52,149.45 and 22,683 is: 31,299.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,793.64 : 52,149.45 = 22,683 : x
  2. Step 2: Convert to fraction form
    37,793.64/52,149.45 = 22,683/x
  3. Step 3: Cross multiply
    37,793.64x = 52,149.45 × 22,683
  4. Step 4: Simplify right side
    37,793.64x = 1,182,905,974.35
  5. Step 5: Solve for x
    x = 1,182,905,974.35/37,793.64
  6. Step 6: Final answer
    x = 31,299.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.