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Finding the Fourth Proportional to 50,449, 75,626.46 and 17,146.30

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Solution

The fourth proportional to 50,449, 75,626.46 and 17,146.30 is: 25,703.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,449 : 75,626.46 = 17,146.30 : x
  2. Step 2: Convert to fraction form
    50,449/75,626.46 = 17,146.30/x
  3. Step 3: Cross multiply
    50,449x = 75,626.46 × 17,146.30
  4. Step 4: Simplify right side
    50,449x = 1,296,713,971.10
  5. Step 5: Solve for x
    x = 1,296,713,971.10/50,449
  6. Step 6: Final answer
    x = 25,703.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.