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Finding the Fourth Proportional to 30,261.38, 45,392.07 and 9,486.50

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Solution

The fourth proportional to 30,261.38, 45,392.07 and 9,486.50 is: 14,229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,261.38 : 45,392.07 = 9,486.50 : x
  2. Step 2: Convert to fraction form
    30,261.38/45,392.07 = 9,486.50/x
  3. Step 3: Cross multiply
    30,261.38x = 45,392.07 × 9,486.50
  4. Step 4: Simplify right side
    30,261.38x = 430,611,872.06
  5. Step 5: Solve for x
    x = 430,611,872.06/30,261.38
  6. Step 6: Final answer
    x = 14,229.75

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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.