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Finding the Fourth Proportional to 32,309.36, 48,467.68 and 14,774.48

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Solution

The fourth proportional to 32,309.36, 48,467.68 and 14,774.48 is: 22,163.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,309.36 : 48,467.68 = 14,774.48 : x
  2. Step 2: Convert to fraction form
    32,309.36/48,467.68 = 14,774.48/x
  3. Step 3: Cross multiply
    32,309.36x = 48,467.68 × 14,774.48
  4. Step 4: Simplify right side
    32,309.36x = 716,084,768.81
  5. Step 5: Solve for x
    x = 716,084,768.81/32,309.36
  6. Step 6: Final answer
    x = 22,163.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.