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Finding the Fourth Proportional to 32,197.68, 48,302 and 10,006.96

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Solution

The fourth proportional to 32,197.68, 48,302 and 10,006.96 is: 15,012.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,197.68 : 48,302 = 10,006.96 : x
  2. Step 2: Convert to fraction form
    32,197.68/48,302 = 10,006.96/x
  3. Step 3: Cross multiply
    32,197.68x = 48,302 × 10,006.96
  4. Step 4: Simplify right side
    32,197.68x = 483,356,181.92
  5. Step 5: Solve for x
    x = 483,356,181.92/32,197.68
  6. Step 6: Final answer
    x = 15,012.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.