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Finding the Fourth Proportional to 30,980.22, 42,753.58 and 16,833.92

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Solution

The fourth proportional to 30,980.22, 42,753.58 and 16,833.92 is: 23,231.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,980.22 : 42,753.58 = 16,833.92 : x
  2. Step 2: Convert to fraction form
    30,980.22/42,753.58 = 16,833.92/x
  3. Step 3: Cross multiply
    30,980.22x = 42,753.58 × 16,833.92
  4. Step 4: Simplify right side
    30,980.22x = 719,710,345.43
  5. Step 5: Solve for x
    x = 719,710,345.43/30,980.22
  6. Step 6: Final answer
    x = 23,231.29

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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.