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Finding the Fourth Proportional to 103,322.30, 154,983.45 and 36,764.60

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Solution

The fourth proportional to 103,322.30, 154,983.45 and 36,764.60 is: 55,146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,322.30 : 154,983.45 = 36,764.60 : x
  2. Step 2: Convert to fraction form
    103,322.30/154,983.45 = 36,764.60/x
  3. Step 3: Cross multiply
    103,322.30x = 154,983.45 × 36,764.60
  4. Step 4: Simplify right side
    103,322.30x = 5,697,904,545.87
  5. Step 5: Solve for x
    x = 5,697,904,545.87/103,322.30
  6. Step 6: Final answer
    x = 55,146.90

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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.