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Finding the Fourth Proportional to 32,448.25, 48,672.42 and 7,824.25

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Solution

The fourth proportional to 32,448.25, 48,672.42 and 7,824.25 is: 11,736.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,448.25 : 48,672.42 = 7,824.25 : x
  2. Step 2: Convert to fraction form
    32,448.25/48,672.42 = 7,824.25/x
  3. Step 3: Cross multiply
    32,448.25x = 48,672.42 × 7,824.25
  4. Step 4: Simplify right side
    32,448.25x = 380,825,182.19
  5. Step 5: Solve for x
    x = 380,825,182.19/32,448.25
  6. Step 6: Final answer
    x = 11,736.39

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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.