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Finding the Fourth Proportional to 34,253.55, 51,381.38 and 9,293.50

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Solution

The fourth proportional to 34,253.55, 51,381.38 and 9,293.50 is: 13,940.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,253.55 : 51,381.38 = 9,293.50 : x
  2. Step 2: Convert to fraction form
    34,253.55/51,381.38 = 9,293.50/x
  3. Step 3: Cross multiply
    34,253.55x = 51,381.38 × 9,293.50
  4. Step 4: Simplify right side
    34,253.55x = 477,512,855.03
  5. Step 5: Solve for x
    x = 477,512,855.03/34,253.55
  6. Step 6: Final answer
    x = 13,940.54

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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.