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Finding the Fourth Proportional to 30,892.82, 42,632.04 and 16,745.90

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Solution

The fourth proportional to 30,892.82, 42,632.04 and 16,745.90 is: 23,109.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892.82 : 42,632.04 = 16,745.90 : x
  2. Step 2: Convert to fraction form
    30,892.82/42,632.04 = 16,745.90/x
  3. Step 3: Cross multiply
    30,892.82x = 42,632.04 × 16,745.90
  4. Step 4: Simplify right side
    30,892.82x = 713,911,878.64
  5. Step 5: Solve for x
    x = 713,911,878.64/30,892.82
  6. Step 6: Final answer
    x = 23,109.31

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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.