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Finding the Fourth Proportional to 35,665, 49,217.09 and 19,749.10

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Solution

The fourth proportional to 35,665, 49,217.09 and 19,749.10 is: 27,253.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,665 : 49,217.09 = 19,749.10 : x
  2. Step 2: Convert to fraction form
    35,665/49,217.09 = 19,749.10/x
  3. Step 3: Cross multiply
    35,665x = 49,217.09 × 19,749.10
  4. Step 4: Simplify right side
    35,665x = 971,993,232.12
  5. Step 5: Solve for x
    x = 971,993,232.12/35,665
  6. Step 6: Final answer
    x = 27,253.42

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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.