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Finding the Fourth Proportional to 30,890.17, 42,627.09 and 17,464.42

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Solution

The fourth proportional to 30,890.17, 42,627.09 and 17,464.42 is: 24,100.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,890.17 : 42,627.09 = 17,464.42 : x
  2. Step 2: Convert to fraction form
    30,890.17/42,627.09 = 17,464.42/x
  3. Step 3: Cross multiply
    30,890.17x = 42,627.09 × 17,464.42
  4. Step 4: Simplify right side
    30,890.17x = 744,457,403.14
  5. Step 5: Solve for x
    x = 744,457,403.14/30,890.17
  6. Step 6: Final answer
    x = 24,100.14

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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.