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Finding the Fourth Proportional to 37,591, 51,875.58 and 20,825.08

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Solution

The fourth proportional to 37,591, 51,875.58 and 20,825.08 is: 28,738.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,591 : 51,875.58 = 20,825.08 : x
  2. Step 2: Convert to fraction form
    37,591/51,875.58 = 20,825.08/x
  3. Step 3: Cross multiply
    37,591x = 51,875.58 × 20,825.08
  4. Step 4: Simplify right side
    37,591x = 1,080,313,103.55
  5. Step 5: Solve for x
    x = 1,080,313,103.55/37,591
  6. Step 6: Final answer
    x = 28,738.61

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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.