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Finding the Fourth Proportional to 30,742.36, 42,396.06 and 22,804.36

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Solution

The fourth proportional to 30,742.36, 42,396.06 and 22,804.36 is: 31,448.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,742.36 : 42,396.06 = 22,804.36 : x
  2. Step 2: Convert to fraction form
    30,742.36/42,396.06 = 22,804.36/x
  3. Step 3: Cross multiply
    30,742.36x = 42,396.06 × 22,804.36
  4. Step 4: Simplify right side
    30,742.36x = 966,815,014.82
  5. Step 5: Solve for x
    x = 966,815,014.82/30,742.36
  6. Step 6: Final answer
    x = 31,448.95

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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.