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Finding the Fourth Proportional to 30,447.96, 42,005.07 and 17,700.18

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Solution

The fourth proportional to 30,447.96, 42,005.07 and 17,700.18 is: 24,418.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,447.96 : 42,005.07 = 17,700.18 : x
  2. Step 2: Convert to fraction form
    30,447.96/42,005.07 = 17,700.18/x
  3. Step 3: Cross multiply
    30,447.96x = 42,005.07 × 17,700.18
  4. Step 4: Simplify right side
    30,447.96x = 743,497,299.91
  5. Step 5: Solve for x
    x = 743,497,299.91/30,447.96
  6. Step 6: Final answer
    x = 24,418.62

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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.