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Finding the Fourth Proportional to 102,922.98, 154,382.58 and 32,801.28

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Solution

The fourth proportional to 102,922.98, 154,382.58 and 32,801.28 is: 49,201.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,922.98 : 154,382.58 = 32,801.28 : x
  2. Step 2: Convert to fraction form
    102,922.98/154,382.58 = 32,801.28/x
  3. Step 3: Cross multiply
    102,922.98x = 154,382.58 × 32,801.28
  4. Step 4: Simplify right side
    102,922.98x = 5,063,946,233.70
  5. Step 5: Solve for x
    x = 5,063,946,233.70/102,922.98
  6. Step 6: Final answer
    x = 49,201.32

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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.