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Finding the Fourth Proportional to 32,232, 48,369.60 and 13,768.32

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Solution

The fourth proportional to 32,232, 48,369.60 and 13,768.32 is: 20,661.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,232 : 48,369.60 = 13,768.32 : x
  2. Step 2: Convert to fraction form
    32,232/48,369.60 = 13,768.32/x
  3. Step 3: Cross multiply
    32,232x = 48,369.60 × 13,768.32
  4. Step 4: Simplify right side
    32,232x = 665,968,131.07
  5. Step 5: Solve for x
    x = 665,968,131.07/32,232
  6. Step 6: Final answer
    x = 20,661.71

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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.