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Finding the Fourth Proportional to 75,790.72, 104,594.88 and 42,256

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Solution

The fourth proportional to 75,790.72, 104,594.88 and 42,256 is: 58,315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,790.72 : 104,594.88 = 42,256 : x
  2. Step 2: Convert to fraction form
    75,790.72/104,594.88 = 42,256/x
  3. Step 3: Cross multiply
    75,790.72x = 104,594.88 × 42,256
  4. Step 4: Simplify right side
    75,790.72x = 4,419,761,249.28
  5. Step 5: Solve for x
    x = 4,419,761,249.28/75,790.72
  6. Step 6: Final answer
    x = 58,315.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.