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Finding the Fourth Proportional to 34,509.87, 51,852.42 and 32,188.02

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Solution

The fourth proportional to 34,509.87, 51,852.42 and 32,188.02 is: 48,363.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,509.87 : 51,852.42 = 32,188.02 : x
  2. Step 2: Convert to fraction form
    34,509.87/51,852.42 = 32,188.02/x
  3. Step 3: Cross multiply
    34,509.87x = 51,852.42 × 32,188.02
  4. Step 4: Simplify right side
    34,509.87x = 1,669,026,732.01
  5. Step 5: Solve for x
    x = 1,669,026,732.01/34,509.87
  6. Step 6: Final answer
    x = 48,363.75

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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.