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Finding the Fourth Proportional to 32,080.98, 48,103.74 and 9,888.18

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Solution

The fourth proportional to 32,080.98, 48,103.74 and 9,888.18 is: 14,826.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,080.98 : 48,103.74 = 9,888.18 : x
  2. Step 2: Convert to fraction form
    32,080.98/48,103.74 = 9,888.18/x
  3. Step 3: Cross multiply
    32,080.98x = 48,103.74 × 9,888.18
  4. Step 4: Simplify right side
    32,080.98x = 475,658,439.79
  5. Step 5: Solve for x
    x = 475,658,439.79/32,080.98
  6. Step 6: Final answer
    x = 14,826.81

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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.