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Finding the Fourth Proportional to 30,944.79, 46,414.89 and 9,883.98

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Solution

The fourth proportional to 30,944.79, 46,414.89 and 9,883.98 is: 14,825.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,944.79 : 46,414.89 = 9,883.98 : x
  2. Step 2: Convert to fraction form
    30,944.79/46,414.89 = 9,883.98/x
  3. Step 3: Cross multiply
    30,944.79x = 46,414.89 × 9,883.98
  4. Step 4: Simplify right side
    30,944.79x = 458,763,844.46
  5. Step 5: Solve for x
    x = 458,763,844.46/30,944.79
  6. Step 6: Final answer
    x = 14,825.24

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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.