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Finding the Fourth Proportional to 102,841.41, 154,252.40 and 32,708.37

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Solution

The fourth proportional to 102,841.41, 154,252.40 and 32,708.37 is: 49,059.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,841.41 : 154,252.40 = 32,708.37 : x
  2. Step 2: Convert to fraction form
    102,841.41/154,252.40 = 32,708.37/x
  3. Step 3: Cross multiply
    102,841.41x = 154,252.40 × 32,708.37
  4. Step 4: Simplify right side
    102,841.41x = 5,045,344,409.05
  5. Step 5: Solve for x
    x = 5,045,344,409.05/102,841.41
  6. Step 6: Final answer
    x = 49,059.46

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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.