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Finding the Fourth Proportional to 30,980.49, 42,753.47 and 16,833.57

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Solution

The fourth proportional to 30,980.49, 42,753.47 and 16,833.57 is: 23,230.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,980.49 : 42,753.47 = 16,833.57 : x
  2. Step 2: Convert to fraction form
    30,980.49/42,753.47 = 16,833.57/x
  3. Step 3: Cross multiply
    30,980.49x = 42,753.47 × 16,833.57
  4. Step 4: Simplify right side
    30,980.49x = 719,693,445.82
  5. Step 5: Solve for x
    x = 719,693,445.82/30,980.49
  6. Step 6: Final answer
    x = 23,230.54

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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.