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Finding the Fourth Proportional to 35,410.26, 53,116.76 and 13,221.33

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Solution

The fourth proportional to 35,410.26, 53,116.76 and 13,221.33 is: 19,832.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,410.26 : 53,116.76 = 13,221.33 : x
  2. Step 2: Convert to fraction form
    35,410.26/53,116.76 = 13,221.33/x
  3. Step 3: Cross multiply
    35,410.26x = 53,116.76 × 13,221.33
  4. Step 4: Simplify right side
    35,410.26x = 702,274,046.36
  5. Step 5: Solve for x
    x = 702,274,046.36/35,410.26
  6. Step 6: Final answer
    x = 19,832.50

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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.