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Finding the Fourth Proportional to 106,944.84, 160,433.64 and 36,807.84

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Solution

The fourth proportional to 106,944.84, 160,433.64 and 36,807.84 is: 55,217.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,944.84 : 160,433.64 = 36,807.84 : x
  2. Step 2: Convert to fraction form
    106,944.84/160,433.64 = 36,807.84/x
  3. Step 3: Cross multiply
    106,944.84x = 160,433.64 × 36,807.84
  4. Step 4: Simplify right side
    106,944.84x = 5,905,215,751.74
  5. Step 5: Solve for x
    x = 5,905,215,751.74/106,944.84
  6. Step 6: Final answer
    x = 55,217.40

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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.