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Finding the Fourth Proportional to 32,040.57, 43,894.85 and 30,842.61

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Solution

The fourth proportional to 32,040.57, 43,894.85 and 30,842.61 is: 42,253.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,040.57 : 43,894.85 = 30,842.61 : x
  2. Step 2: Convert to fraction form
    32,040.57/43,894.85 = 30,842.61/x
  3. Step 3: Cross multiply
    32,040.57x = 43,894.85 × 30,842.61
  4. Step 4: Simplify right side
    32,040.57x = 1,353,831,783.31
  5. Step 5: Solve for x
    x = 1,353,831,783.31/32,040.57
  6. Step 6: Final answer
    x = 42,253.68

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.