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Finding the Fourth Proportional to 32,194.94, 48,282.41 and 15,544.62

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Solution

The fourth proportional to 32,194.94, 48,282.41 and 15,544.62 is: 23,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,194.94 : 48,282.41 = 15,544.62 : x
  2. Step 2: Convert to fraction form
    32,194.94/48,282.41 = 15,544.62/x
  3. Step 3: Cross multiply
    32,194.94x = 48,282.41 × 15,544.62
  4. Step 4: Simplify right side
    32,194.94x = 750,531,716.13
  5. Step 5: Solve for x
    x = 750,531,716.13/32,194.94
  6. Step 6: Final answer
    x = 23,312.10

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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.