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Finding the Fourth Proportional to 102,990.54, 154,386.99 and 32,824.02

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Solution

The fourth proportional to 102,990.54, 154,386.99 and 32,824.02 is: 49,204.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,990.54 : 154,386.99 = 32,824.02 : x
  2. Step 2: Convert to fraction form
    102,990.54/154,386.99 = 32,824.02/x
  3. Step 3: Cross multiply
    102,990.54x = 154,386.99 × 32,824.02
  4. Step 4: Simplify right side
    102,990.54x = 5,067,601,647.50
  5. Step 5: Solve for x
    x = 5,067,601,647.50/102,990.54
  6. Step 6: Final answer
    x = 49,204.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.