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Finding the Fourth Proportional to 30,442.78, 42,023.96 and 18,509.92

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Solution

The fourth proportional to 30,442.78, 42,023.96 and 18,509.92 is: 25,551.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442.78 : 42,023.96 = 18,509.92 : x
  2. Step 2: Convert to fraction form
    30,442.78/42,023.96 = 18,509.92/x
  3. Step 3: Cross multiply
    30,442.78x = 42,023.96 × 18,509.92
  4. Step 4: Simplify right side
    30,442.78x = 777,860,137.68
  5. Step 5: Solve for x
    x = 777,860,137.68/30,442.78
  6. Step 6: Final answer
    x = 25,551.55

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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.