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Finding the Fourth Proportional to 32,797.32, 49,195.82 and 12,808.84

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Solution

The fourth proportional to 32,797.32, 49,195.82 and 12,808.84 is: 19,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,797.32 : 49,195.82 = 12,808.84 : x
  2. Step 2: Convert to fraction form
    32,797.32/49,195.82 = 12,808.84/x
  3. Step 3: Cross multiply
    32,797.32x = 49,195.82 × 12,808.84
  4. Step 4: Simplify right side
    32,797.32x = 630,141,384.50
  5. Step 5: Solve for x
    x = 630,141,384.50/32,797.32
  6. Step 6: Final answer
    x = 19,213.20

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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.