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Finding the Fourth Proportional to 32,080.48, 48,083.76 and 12,349.12

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Solution

The fourth proportional to 32,080.48, 48,083.76 and 12,349.12 is: 18,509.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,080.48 : 48,083.76 = 12,349.12 : x
  2. Step 2: Convert to fraction form
    32,080.48/48,083.76 = 12,349.12/x
  3. Step 3: Cross multiply
    32,080.48x = 48,083.76 × 12,349.12
  4. Step 4: Simplify right side
    32,080.48x = 593,792,122.29
  5. Step 5: Solve for x
    x = 593,792,122.29/32,080.48
  6. Step 6: Final answer
    x = 18,509.45

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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.