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Finding the Fourth Proportional to 33,655.70, 46,442.75 and 20,219.01

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Solution

The fourth proportional to 33,655.70, 46,442.75 and 20,219.01 is: 27,900.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,655.70 : 46,442.75 = 20,219.01 : x
  2. Step 2: Convert to fraction form
    33,655.70/46,442.75 = 20,219.01/x
  3. Step 3: Cross multiply
    33,655.70x = 46,442.75 × 20,219.01
  4. Step 4: Simplify right side
    33,655.70x = 939,026,325.58
  5. Step 5: Solve for x
    x = 939,026,325.58/33,655.70
  6. Step 6: Final answer
    x = 27,900.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.