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Finding the Fourth Proportional to 75,493.94, 113,254.56 and 31,096.46

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Solution

The fourth proportional to 75,493.94, 113,254.56 and 31,096.46 is: 46,650.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,493.94 : 113,254.56 = 31,096.46 : x
  2. Step 2: Convert to fraction form
    75,493.94/113,254.56 = 31,096.46/x
  3. Step 3: Cross multiply
    75,493.94x = 113,254.56 × 31,096.46
  4. Step 4: Simplify right side
    75,493.94x = 3,521,815,894.86
  5. Step 5: Solve for x
    x = 3,521,815,894.86/75,493.94
  6. Step 6: Final answer
    x = 46,650.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.