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Finding the Fourth Proportional to 32,356.38, 48,534.60 and 10,171.70

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Solution

The fourth proportional to 32,356.38, 48,534.60 and 10,171.70 is: 15,257.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,356.38 : 48,534.60 = 10,171.70 : x
  2. Step 2: Convert to fraction form
    32,356.38/48,534.60 = 10,171.70/x
  3. Step 3: Cross multiply
    32,356.38x = 48,534.60 × 10,171.70
  4. Step 4: Simplify right side
    32,356.38x = 493,679,186.29
  5. Step 5: Solve for x
    x = 493,679,186.29/32,356.38
  6. Step 6: Final answer
    x = 15,257.55

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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.