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Finding the Fourth Proportional to 34,005, 51,010.44 and 9,381

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Solution

The fourth proportional to 34,005, 51,010.44 and 9,381 is: 14,072.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,005 : 51,010.44 = 9,381 : x
  2. Step 2: Convert to fraction form
    34,005/51,010.44 = 9,381/x
  3. Step 3: Cross multiply
    34,005x = 51,010.44 × 9,381
  4. Step 4: Simplify right side
    34,005x = 478,528,937.64
  5. Step 5: Solve for x
    x = 478,528,937.64/34,005
  6. Step 6: Final answer
    x = 14,072.31

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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.