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Finding the Fourth Proportional to 34,013.96, 51,021.90 and 9,389.96

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Solution

The fourth proportional to 34,013.96, 51,021.90 and 9,389.96 is: 14,085.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,013.96 : 51,021.90 = 9,389.96 : x
  2. Step 2: Convert to fraction form
    34,013.96/51,021.90 = 9,389.96/x
  3. Step 3: Cross multiply
    34,013.96x = 51,021.90 × 9,389.96
  4. Step 4: Simplify right side
    34,013.96x = 479,093,600.12
  5. Step 5: Solve for x
    x = 479,093,600.12/34,013.96
  6. Step 6: Final answer
    x = 14,085.21

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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.