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Finding the Fourth Proportional to 37,149.60, 55,724.40 and 32,138.40

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Solution

The fourth proportional to 37,149.60, 55,724.40 and 32,138.40 is: 48,207.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,149.60 : 55,724.40 = 32,138.40 : x
  2. Step 2: Convert to fraction form
    37,149.60/55,724.40 = 32,138.40/x
  3. Step 3: Cross multiply
    37,149.60x = 55,724.40 × 32,138.40
  4. Step 4: Simplify right side
    37,149.60x = 1,790,893,056.96
  5. Step 5: Solve for x
    x = 1,790,893,056.96/37,149.60
  6. Step 6: Final answer
    x = 48,207.60

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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.