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Finding the Fourth Proportional to 27,578.34, 38,057.94 and 15,003

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Solution

The fourth proportional to 27,578.34, 38,057.94 and 15,003 is: 20,704.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,578.34 : 38,057.94 = 15,003 : x
  2. Step 2: Convert to fraction form
    27,578.34/38,057.94 = 15,003/x
  3. Step 3: Cross multiply
    27,578.34x = 38,057.94 × 15,003
  4. Step 4: Simplify right side
    27,578.34x = 570,983,273.82
  5. Step 5: Solve for x
    x = 570,983,273.82/27,578.34
  6. Step 6: Final answer
    x = 20,704.05

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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.