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Finding the Fourth Proportional to 75,174.24, 112,790.88 and 30,822.24

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Solution

The fourth proportional to 75,174.24, 112,790.88 and 30,822.24 is: 46,245.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,174.24 : 112,790.88 = 30,822.24 : x
  2. Step 2: Convert to fraction form
    75,174.24/112,790.88 = 30,822.24/x
  3. Step 3: Cross multiply
    75,174.24x = 112,790.88 × 30,822.24
  4. Step 4: Simplify right side
    75,174.24x = 3,476,467,573.17
  5. Step 5: Solve for x
    x = 3,476,467,573.17/75,174.24
  6. Step 6: Final answer
    x = 46,245.46

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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.