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Finding the Fourth Proportional to 32,103.84, 48,157.74 and 12,382.14

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Solution

The fourth proportional to 32,103.84, 48,157.74 and 12,382.14 is: 18,573.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,103.84 : 48,157.74 = 12,382.14 : x
  2. Step 2: Convert to fraction form
    32,103.84/48,157.74 = 12,382.14/x
  3. Step 3: Cross multiply
    32,103.84x = 48,157.74 × 12,382.14
  4. Step 4: Simplify right side
    32,103.84x = 596,295,878.76
  5. Step 5: Solve for x
    x = 596,295,878.76/32,103.84
  6. Step 6: Final answer
    x = 18,573.97

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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.