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Finding the Fourth Proportional to 37,661.46, 51,972.84 and 20,894.46

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Solution

The fourth proportional to 37,661.46, 51,972.84 and 20,894.46 is: 28,834.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,661.46 : 51,972.84 = 20,894.46 : x
  2. Step 2: Convert to fraction form
    37,661.46/51,972.84 = 20,894.46/x
  3. Step 3: Cross multiply
    37,661.46x = 51,972.84 × 20,894.46
  4. Step 4: Simplify right side
    37,661.46x = 1,085,944,426.47
  5. Step 5: Solve for x
    x = 1,085,944,426.47/37,661.46
  6. Step 6: Final answer
    x = 28,834.37

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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.