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Finding the Fourth Proportional to 35,892.86, 53,835.50 and 9,600.26

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Solution

The fourth proportional to 35,892.86, 53,835.50 and 9,600.26 is: 14,399.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,892.86 : 53,835.50 = 9,600.26 : x
  2. Step 2: Convert to fraction form
    35,892.86/53,835.50 = 9,600.26/x
  3. Step 3: Cross multiply
    35,892.86x = 53,835.50 × 9,600.26
  4. Step 4: Simplify right side
    35,892.86x = 516,834,552.05
  5. Step 5: Solve for x
    x = 516,834,552.05/35,892.86
  6. Step 6: Final answer
    x = 14,399.37

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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.