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Finding the Fourth Proportional to 30,923, 46,392.18 and 9,035

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Solution

The fourth proportional to 30,923, 46,392.18 and 9,035 is: 13,554.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,923 : 46,392.18 = 9,035 : x
  2. Step 2: Convert to fraction form
    30,923/46,392.18 = 9,035/x
  3. Step 3: Cross multiply
    30,923x = 46,392.18 × 9,035
  4. Step 4: Simplify right side
    30,923x = 419,153,346.30
  5. Step 5: Solve for x
    x = 419,153,346.30/30,923
  6. Step 6: Final answer
    x = 13,554.74

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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.