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Finding the Fourth Proportional to 54,675, 75,445.83 and 32,012.82

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Solution

The fourth proportional to 54,675, 75,445.83 and 32,012.82 is: 44,174.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,675 : 75,445.83 = 32,012.82 : x
  2. Step 2: Convert to fraction form
    54,675/75,445.83 = 32,012.82/x
  3. Step 3: Cross multiply
    54,675x = 75,445.83 × 32,012.82
  4. Step 4: Simplify right side
    54,675x = 2,415,233,775.54
  5. Step 5: Solve for x
    x = 2,415,233,775.54/54,675
  6. Step 6: Final answer
    x = 44,174.37

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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.