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Finding the Fourth Proportional to 30,892.86, 42,632.10 and 16,745.76

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Solution

The fourth proportional to 30,892.86, 42,632.10 and 16,745.76 is: 23,109.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892.86 : 42,632.10 = 16,745.76 : x
  2. Step 2: Convert to fraction form
    30,892.86/42,632.10 = 16,745.76/x
  3. Step 3: Cross multiply
    30,892.86x = 42,632.10 × 16,745.76
  4. Step 4: Simplify right side
    30,892.86x = 713,906,914.90
  5. Step 5: Solve for x
    x = 713,906,914.90/30,892.86
  6. Step 6: Final answer
    x = 23,109.12

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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.