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Finding the Fourth Proportional to 75,831, 104,652.68 and 41,846.20

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Solution

The fourth proportional to 75,831, 104,652.68 and 41,846.20 is: 57,751.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,831 : 104,652.68 = 41,846.20 : x
  2. Step 2: Convert to fraction form
    75,831/104,652.68 = 41,846.20/x
  3. Step 3: Cross multiply
    75,831x = 104,652.68 × 41,846.20
  4. Step 4: Simplify right side
    75,831x = 4,379,316,977.82
  5. Step 5: Solve for x
    x = 4,379,316,977.82/75,831
  6. Step 6: Final answer
    x = 57,751.01

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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.