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Finding the Fourth Proportional to 37,698.75, 52,020.36 and 21,788.28

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Solution

The fourth proportional to 37,698.75, 52,020.36 and 21,788.28 is: 30,065.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,698.75 : 52,020.36 = 21,788.28 : x
  2. Step 2: Convert to fraction form
    37,698.75/52,020.36 = 21,788.28/x
  3. Step 3: Cross multiply
    37,698.75x = 52,020.36 × 21,788.28
  4. Step 4: Simplify right side
    37,698.75x = 1,133,434,169.38
  5. Step 5: Solve for x
    x = 1,133,434,169.38/37,698.75
  6. Step 6: Final answer
    x = 30,065.56

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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.