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Finding the Fourth Proportional to 32,682.42, 49,041.45 and 12,961.62

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Solution

The fourth proportional to 32,682.42, 49,041.45 and 12,961.62 is: 19,449.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,682.42 : 49,041.45 = 12,961.62 : x
  2. Step 2: Convert to fraction form
    32,682.42/49,041.45 = 12,961.62/x
  3. Step 3: Cross multiply
    32,682.42x = 49,041.45 × 12,961.62
  4. Step 4: Simplify right side
    32,682.42x = 635,656,639.15
  5. Step 5: Solve for x
    x = 635,656,639.15/32,682.42
  6. Step 6: Final answer
    x = 19,449.50

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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.