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Finding the Fourth Proportional to 30,986.84, 46,490.79 and 11,266.98

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Solution

The fourth proportional to 30,986.84, 46,490.79 and 11,266.98 is: 16,904.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,986.84 : 46,490.79 = 11,266.98 : x
  2. Step 2: Convert to fraction form
    30,986.84/46,490.79 = 11,266.98/x
  3. Step 3: Cross multiply
    30,986.84x = 46,490.79 × 11,266.98
  4. Step 4: Simplify right side
    30,986.84x = 523,810,801.11
  5. Step 5: Solve for x
    x = 523,810,801.11/30,986.84
  6. Step 6: Final answer
    x = 16,904.30

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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.