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Finding the Fourth Proportional to 32,356.16, 48,534.21 and 10,171.48

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Solution

The fourth proportional to 32,356.16, 48,534.21 and 10,171.48 is: 15,257.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,356.16 : 48,534.21 = 10,171.48 : x
  2. Step 2: Convert to fraction form
    32,356.16/48,534.21 = 10,171.48/x
  3. Step 3: Cross multiply
    32,356.16x = 48,534.21 × 10,171.48
  4. Step 4: Simplify right side
    32,356.16x = 493,664,625.00
  5. Step 5: Solve for x
    x = 493,664,625.00/32,356.16
  6. Step 6: Final answer
    x = 15,257.21

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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.