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Finding the Fourth Proportional to 30,576.96, 42,194.22 and 17,148.12

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Solution

The fourth proportional to 30,576.96, 42,194.22 and 17,148.12 is: 23,663.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,576.96 : 42,194.22 = 17,148.12 : x
  2. Step 2: Convert to fraction form
    30,576.96/42,194.22 = 17,148.12/x
  3. Step 3: Cross multiply
    30,576.96x = 42,194.22 × 17,148.12
  4. Step 4: Simplify right side
    30,576.96x = 723,551,547.87
  5. Step 5: Solve for x
    x = 723,551,547.87/30,576.96
  6. Step 6: Final answer
    x = 23,663.29

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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.