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Finding the Fourth Proportional to 32,193.82, 48,288.39 and 8,818.42

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Solution

The fourth proportional to 32,193.82, 48,288.39 and 8,818.42 is: 13,226.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,193.82 : 48,288.39 = 8,818.42 : x
  2. Step 2: Convert to fraction form
    32,193.82/48,288.39 = 8,818.42/x
  3. Step 3: Cross multiply
    32,193.82x = 48,288.39 × 8,818.42
  4. Step 4: Simplify right side
    32,193.82x = 425,827,304.14
  5. Step 5: Solve for x
    x = 425,827,304.14/32,193.82
  6. Step 6: Final answer
    x = 13,226.99

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1.5x scale

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.