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Finding the Fourth Proportional to 32,415.20, 48,634.32 and 13,960.16

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Solution

The fourth proportional to 32,415.20, 48,634.32 and 13,960.16 is: 20,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,415.20 : 48,634.32 = 13,960.16 : x
  2. Step 2: Convert to fraction form
    32,415.20/48,634.32 = 13,960.16/x
  3. Step 3: Cross multiply
    32,415.20x = 48,634.32 × 13,960.16
  4. Step 4: Simplify right side
    32,415.20x = 678,942,888.69
  5. Step 5: Solve for x
    x = 678,942,888.69/32,415.20
  6. Step 6: Final answer
    x = 20,945.20

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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.