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Finding the Fourth Proportional to 30,578.50, 42,181.24 and 19,243.76

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Solution

The fourth proportional to 30,578.50, 42,181.24 and 19,243.76 is: 26,545.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,578.50 : 42,181.24 = 19,243.76 : x
  2. Step 2: Convert to fraction form
    30,578.50/42,181.24 = 19,243.76/x
  3. Step 3: Cross multiply
    30,578.50x = 42,181.24 × 19,243.76
  4. Step 4: Simplify right side
    30,578.50x = 811,725,562.84
  5. Step 5: Solve for x
    x = 811,725,562.84/30,578.50
  6. Step 6: Final answer
    x = 26,545.63

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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.