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Finding the Fourth Proportional to 35,419.26, 53,138.02 and 13,232.78

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Solution

The fourth proportional to 35,419.26, 53,138.02 and 13,232.78 is: 19,852.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,419.26 : 53,138.02 = 13,232.78 : x
  2. Step 2: Convert to fraction form
    35,419.26/53,138.02 = 13,232.78/x
  3. Step 3: Cross multiply
    35,419.26x = 53,138.02 × 13,232.78
  4. Step 4: Simplify right side
    35,419.26x = 703,163,728.30
  5. Step 5: Solve for x
    x = 703,163,728.30/35,419.26
  6. Step 6: Final answer
    x = 19,852.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.