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Finding the Fourth Proportional to 35,419.50, 53,138.37 and 13,233.03

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Solution

The fourth proportional to 35,419.50, 53,138.37 and 13,233.03 is: 19,852.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,419.50 : 53,138.37 = 13,233.03 : x
  2. Step 2: Convert to fraction form
    35,419.50/53,138.37 = 13,233.03/x
  3. Step 3: Cross multiply
    35,419.50x = 53,138.37 × 13,233.03
  4. Step 4: Simplify right side
    35,419.50x = 703,181,644.36
  5. Step 5: Solve for x
    x = 703,181,644.36/35,419.50
  6. Step 6: Final answer
    x = 19,852.95

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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.