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Finding the Fourth Proportional to 45,852, 68,797.44 and 24,767.16

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Solution

The fourth proportional to 45,852, 68,797.44 and 24,767.16 is: 37,161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,852 : 68,797.44 = 24,767.16 : x
  2. Step 2: Convert to fraction form
    45,852/68,797.44 = 24,767.16/x
  3. Step 3: Cross multiply
    45,852x = 68,797.44 × 24,767.16
  4. Step 4: Simplify right side
    45,852x = 1,703,917,204.07
  5. Step 5: Solve for x
    x = 1,703,917,204.07/45,852
  6. Step 6: Final answer
    x = 37,161.24

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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.