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Finding the Fourth Proportional to 35,353.86, 53,019.52 and 11,656.99

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Solution

The fourth proportional to 35,353.86, 53,019.52 and 11,656.99 is: 17,481.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,353.86 : 53,019.52 = 11,656.99 : x
  2. Step 2: Convert to fraction form
    35,353.86/53,019.52 = 11,656.99/x
  3. Step 3: Cross multiply
    35,353.86x = 53,019.52 × 11,656.99
  4. Step 4: Simplify right side
    35,353.86x = 618,048,014.44
  5. Step 5: Solve for x
    x = 618,048,014.44/35,353.86
  6. Step 6: Final answer
    x = 17,481.77

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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.