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Finding the Fourth Proportional to 109,902.14, 164,851.41 and 35,021.28

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Solution

The fourth proportional to 109,902.14, 164,851.41 and 35,021.28 is: 52,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,902.14 : 164,851.41 = 35,021.28 : x
  2. Step 2: Convert to fraction form
    109,902.14/164,851.41 = 35,021.28/x
  3. Step 3: Cross multiply
    109,902.14x = 164,851.41 × 35,021.28
  4. Step 4: Simplify right side
    109,902.14x = 5,773,307,388.00
  5. Step 5: Solve for x
    x = 5,773,307,388.00/109,902.14
  6. Step 6: Final answer
    x = 52,531.35

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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.