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Finding the Fourth Proportional to 102,744.33, 154,128.95 and 36,170.84

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Solution

The fourth proportional to 102,744.33, 154,128.95 and 36,170.84 is: 54,260.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,744.33 : 154,128.95 = 36,170.84 : x
  2. Step 2: Convert to fraction form
    102,744.33/154,128.95 = 36,170.84/x
  3. Step 3: Cross multiply
    102,744.33x = 154,128.95 × 36,170.84
  4. Step 4: Simplify right side
    102,744.33x = 5,574,972,638.32
  5. Step 5: Solve for x
    x = 5,574,972,638.32/102,744.33
  6. Step 6: Final answer
    x = 54,260.64

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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.