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Finding the Fourth Proportional to 102,958.94, 154,449.93 and 32,821.98

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Solution

The fourth proportional to 102,958.94, 154,449.93 and 32,821.98 is: 49,236.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,958.94 : 154,449.93 = 32,821.98 : x
  2. Step 2: Convert to fraction form
    102,958.94/154,449.93 = 32,821.98/x
  3. Step 3: Cross multiply
    102,958.94x = 154,449.93 × 32,821.98
  4. Step 4: Simplify right side
    102,958.94x = 5,069,352,513.46
  5. Step 5: Solve for x
    x = 5,069,352,513.46/102,958.94
  6. Step 6: Final answer
    x = 49,236.64

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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.