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Finding the Fourth Proportional to 27,161.84, 37,482.82 and 15,226.20

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Solution

The fourth proportional to 27,161.84, 37,482.82 and 15,226.20 is: 21,011.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,161.84 : 37,482.82 = 15,226.20 : x
  2. Step 2: Convert to fraction form
    27,161.84/37,482.82 = 15,226.20/x
  3. Step 3: Cross multiply
    27,161.84x = 37,482.82 × 15,226.20
  4. Step 4: Simplify right side
    27,161.84x = 570,720,913.88
  5. Step 5: Solve for x
    x = 570,720,913.88/27,161.84
  6. Step 6: Final answer
    x = 21,011.86

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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.