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Finding the Fourth Proportional to 37,350, 51,544.08 and 20,584.08

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Solution

The fourth proportional to 37,350, 51,544.08 and 20,584.08 is: 28,406.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,350 : 51,544.08 = 20,584.08 : x
  2. Step 2: Convert to fraction form
    37,350/51,544.08 = 20,584.08/x
  3. Step 3: Cross multiply
    37,350x = 51,544.08 × 20,584.08
  4. Step 4: Simplify right side
    37,350x = 1,060,987,466.25
  5. Step 5: Solve for x
    x = 1,060,987,466.25/37,350
  6. Step 6: Final answer
    x = 28,406.63

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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.