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Finding the Fourth Proportional to 35,654.16, 49,202.16 and 19,738.26

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Solution

The fourth proportional to 35,654.16, 49,202.16 and 19,738.26 is: 27,238.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,654.16 : 49,202.16 = 19,738.26 : x
  2. Step 2: Convert to fraction form
    35,654.16/49,202.16 = 19,738.26/x
  3. Step 3: Cross multiply
    35,654.16x = 49,202.16 × 19,738.26
  4. Step 4: Simplify right side
    35,654.16x = 971,165,026.64
  5. Step 5: Solve for x
    x = 971,165,026.64/35,654.16
  6. Step 6: Final answer
    x = 27,238.48

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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.