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Finding the Fourth Proportional to 32,039.34, 48,059.02 and 8,346.82

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Solution

The fourth proportional to 32,039.34, 48,059.02 and 8,346.82 is: 12,520.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,039.34 : 48,059.02 = 8,346.82 : x
  2. Step 2: Convert to fraction form
    32,039.34/48,059.02 = 8,346.82/x
  3. Step 3: Cross multiply
    32,039.34x = 48,059.02 × 8,346.82
  4. Step 4: Simplify right side
    32,039.34x = 401,139,989.32
  5. Step 5: Solve for x
    x = 401,139,989.32/32,039.34
  6. Step 6: Final answer
    x = 12,520.23

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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.