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Finding the Fourth Proportional to 30,778.36, 42,459.12 and 19,442.40

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Solution

The fourth proportional to 30,778.36, 42,459.12 and 19,442.40 is: 26,821.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,778.36 : 42,459.12 = 19,442.40 : x
  2. Step 2: Convert to fraction form
    30,778.36/42,459.12 = 19,442.40/x
  3. Step 3: Cross multiply
    30,778.36x = 42,459.12 × 19,442.40
  4. Step 4: Simplify right side
    30,778.36x = 825,507,194.69
  5. Step 5: Solve for x
    x = 825,507,194.69/30,778.36
  6. Step 6: Final answer
    x = 26,821.03

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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.