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Finding the Fourth Proportional to 32,002.68, 48,005.46 and 9,814.44

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Solution

The fourth proportional to 32,002.68, 48,005.46 and 9,814.44 is: 14,722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.68 : 48,005.46 = 9,814.44 : x
  2. Step 2: Convert to fraction form
    32,002.68/48,005.46 = 9,814.44/x
  3. Step 3: Cross multiply
    32,002.68x = 48,005.46 × 9,814.44
  4. Step 4: Simplify right side
    32,002.68x = 471,146,706.84
  5. Step 5: Solve for x
    x = 471,146,706.84/32,002.68
  6. Step 6: Final answer
    x = 14,722.10

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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.