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Finding the Fourth Proportional to 35,893.50, 53,842.41 and 11,269.50

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Solution

The fourth proportional to 35,893.50, 53,842.41 and 11,269.50 is: 16,904.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,893.50 : 53,842.41 = 11,269.50 : x
  2. Step 2: Convert to fraction form
    35,893.50/53,842.41 = 11,269.50/x
  3. Step 3: Cross multiply
    35,893.50x = 53,842.41 × 11,269.50
  4. Step 4: Simplify right side
    35,893.50x = 606,777,039.50
  5. Step 5: Solve for x
    x = 606,777,039.50/35,893.50
  6. Step 6: Final answer
    x = 16,904.93

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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.