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Finding the Fourth Proportional to 103,049.70, 154,570.50 and 36,487.14

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Solution

The fourth proportional to 103,049.70, 154,570.50 and 36,487.14 is: 54,729.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,049.70 : 154,570.50 = 36,487.14 : x
  2. Step 2: Convert to fraction form
    103,049.70/154,570.50 = 36,487.14/x
  3. Step 3: Cross multiply
    103,049.70x = 154,570.50 × 36,487.14
  4. Step 4: Simplify right side
    103,049.70x = 5,639,835,473.37
  5. Step 5: Solve for x
    x = 5,639,835,473.37/103,049.70
  6. Step 6: Final answer
    x = 54,729.28

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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.