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Finding the Fourth Proportional to 75,262.82, 112,879.86 and 37,812.49

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Solution

The fourth proportional to 75,262.82, 112,879.86 and 37,812.49 is: 56,711.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,262.82 : 112,879.86 = 37,812.49 : x
  2. Step 2: Convert to fraction form
    75,262.82/112,879.86 = 37,812.49/x
  3. Step 3: Cross multiply
    75,262.82x = 112,879.86 × 37,812.49
  4. Step 4: Simplify right side
    75,262.82x = 4,268,268,577.45
  5. Step 5: Solve for x
    x = 4,268,268,577.45/75,262.82
  6. Step 6: Final answer
    x = 56,711.52

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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.