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Finding the Fourth Proportional to 30,846.74, 42,568.17 and 17,417.19

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Solution

The fourth proportional to 30,846.74, 42,568.17 and 17,417.19 is: 24,035.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,846.74 : 42,568.17 = 17,417.19 : x
  2. Step 2: Convert to fraction form
    30,846.74/42,568.17 = 17,417.19/x
  3. Step 3: Cross multiply
    30,846.74x = 42,568.17 × 17,417.19
  4. Step 4: Simplify right side
    30,846.74x = 741,417,999.16
  5. Step 5: Solve for x
    x = 741,417,999.16/30,846.74
  6. Step 6: Final answer
    x = 24,035.54

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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.