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Finding the Fourth Proportional to 30,954, 46,438.68 and 9,066

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Solution

The fourth proportional to 30,954, 46,438.68 and 9,066 is: 13,601.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,954 : 46,438.68 = 9,066 : x
  2. Step 2: Convert to fraction form
    30,954/46,438.68 = 9,066/x
  3. Step 3: Cross multiply
    30,954x = 46,438.68 × 9,066
  4. Step 4: Simplify right side
    30,954x = 421,013,072.88
  5. Step 5: Solve for x
    x = 421,013,072.88/30,954
  6. Step 6: Final answer
    x = 13,601.25

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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.