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Finding the Fourth Proportional to 32,181.84, 48,269.52 and 9,995.94

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Solution

The fourth proportional to 32,181.84, 48,269.52 and 9,995.94 is: 14,992.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,181.84 : 48,269.52 = 9,995.94 : x
  2. Step 2: Convert to fraction form
    32,181.84/48,269.52 = 9,995.94/x
  3. Step 3: Cross multiply
    32,181.84x = 48,269.52 × 9,995.94
  4. Step 4: Simplify right side
    32,181.84x = 482,499,225.75
  5. Step 5: Solve for x
    x = 482,499,225.75/32,181.84
  6. Step 6: Final answer
    x = 14,992.90

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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.