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Finding the Fourth Proportional to 34,015.86, 51,032.52 and 10,323.54

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Solution

The fourth proportional to 34,015.86, 51,032.52 and 10,323.54 is: 15,487.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,015.86 : 51,032.52 = 10,323.54 : x
  2. Step 2: Convert to fraction form
    34,015.86/51,032.52 = 10,323.54/x
  3. Step 3: Cross multiply
    34,015.86x = 51,032.52 × 10,323.54
  4. Step 4: Simplify right side
    34,015.86x = 526,836,261.52
  5. Step 5: Solve for x
    x = 526,836,261.52/34,015.86
  6. Step 6: Final answer
    x = 15,487.96

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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.