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Finding the Fourth Proportional to 30,892.47, 42,631.83 and 16,745.31

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Solution

The fourth proportional to 30,892.47, 42,631.83 and 16,745.31 is: 23,108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892.47 : 42,631.83 = 16,745.31 : x
  2. Step 2: Convert to fraction form
    30,892.47/42,631.83 = 16,745.31/x
  3. Step 3: Cross multiply
    30,892.47x = 42,631.83 × 16,745.31
  4. Step 4: Simplify right side
    30,892.47x = 713,883,209.22
  5. Step 5: Solve for x
    x = 713,883,209.22/30,892.47
  6. Step 6: Final answer
    x = 23,108.65

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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.