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Finding the Fourth Proportional to 75,649.52, 113,474.16 and 31,227.44

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Solution

The fourth proportional to 75,649.52, 113,474.16 and 31,227.44 is: 46,841.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,649.52 : 113,474.16 = 31,227.44 : x
  2. Step 2: Convert to fraction form
    75,649.52/113,474.16 = 31,227.44/x
  3. Step 3: Cross multiply
    75,649.52x = 113,474.16 × 31,227.44
  4. Step 4: Simplify right side
    75,649.52x = 3,543,507,522.95
  5. Step 5: Solve for x
    x = 3,543,507,522.95/75,649.52
  6. Step 6: Final answer
    x = 46,841.11

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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.