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Finding the Fourth Proportional to 35,902.50, 53,855.91 and 11,278.50

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Solution

The fourth proportional to 35,902.50, 53,855.91 and 11,278.50 is: 16,918.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,902.50 : 53,855.91 = 11,278.50 : x
  2. Step 2: Convert to fraction form
    35,902.50/53,855.91 = 11,278.50/x
  3. Step 3: Cross multiply
    35,902.50x = 53,855.91 × 11,278.50
  4. Step 4: Simplify right side
    35,902.50x = 607,413,880.94
  5. Step 5: Solve for x
    x = 607,413,880.94/35,902.50
  6. Step 6: Final answer
    x = 16,918.43

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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.