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Finding the Fourth Proportional to 35,523.52, 49,021 and 19,607.76

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Solution

The fourth proportional to 35,523.52, 49,021 and 19,607.76 is: 27,057.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,523.52 : 49,021 = 19,607.76 : x
  2. Step 2: Convert to fraction form
    35,523.52/49,021 = 19,607.76/x
  3. Step 3: Cross multiply
    35,523.52x = 49,021 × 19,607.76
  4. Step 4: Simplify right side
    35,523.52x = 961,192,002.96
  5. Step 5: Solve for x
    x = 961,192,002.96/35,523.52
  6. Step 6: Final answer
    x = 27,057.90

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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.