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Finding the Fourth Proportional to 32,214.54, 48,321.22 and 13,235.15

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Solution

The fourth proportional to 32,214.54, 48,321.22 and 13,235.15 is: 19,852.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,214.54 : 48,321.22 = 13,235.15 : x
  2. Step 2: Convert to fraction form
    32,214.54/48,321.22 = 13,235.15/x
  3. Step 3: Cross multiply
    32,214.54x = 48,321.22 × 13,235.15
  4. Step 4: Simplify right side
    32,214.54x = 639,538,320.19
  5. Step 5: Solve for x
    x = 639,538,320.19/32,214.54
  6. Step 6: Final answer
    x = 19,852.47

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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.