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Finding the Fourth Proportional to 30,294.96, 41,800.71 and 17,547.49

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Solution

The fourth proportional to 30,294.96, 41,800.71 and 17,547.49 is: 24,211.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,294.96 : 41,800.71 = 17,547.49 : x
  2. Step 2: Convert to fraction form
    30,294.96/41,800.71 = 17,547.49/x
  3. Step 3: Cross multiply
    30,294.96x = 41,800.71 × 17,547.49
  4. Step 4: Simplify right side
    30,294.96x = 733,497,324.94
  5. Step 5: Solve for x
    x = 733,497,324.94/30,294.96
  6. Step 6: Final answer
    x = 24,211.86

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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.