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Finding the Fourth Proportional to 30,797.78, 42,511.86 and 18,222.50

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Solution

The fourth proportional to 30,797.78, 42,511.86 and 18,222.50 is: 25,153.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,797.78 : 42,511.86 = 18,222.50 : x
  2. Step 2: Convert to fraction form
    30,797.78/42,511.86 = 18,222.50/x
  3. Step 3: Cross multiply
    30,797.78x = 42,511.86 × 18,222.50
  4. Step 4: Simplify right side
    30,797.78x = 774,672,368.85
  5. Step 5: Solve for x
    x = 774,672,368.85/30,797.78
  6. Step 6: Final answer
    x = 25,153.51

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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.