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Finding the Fourth Proportional to 83,219.76, 124,745.40 and 29,895.84

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Solution

The fourth proportional to 83,219.76, 124,745.40 and 29,895.84 is: 44,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,219.76 : 124,745.40 = 29,895.84 : x
  2. Step 2: Convert to fraction form
    83,219.76/124,745.40 = 29,895.84/x
  3. Step 3: Cross multiply
    83,219.76x = 124,745.40 × 29,895.84
  4. Step 4: Simplify right side
    83,219.76x = 3,729,368,519.14
  5. Step 5: Solve for x
    x = 3,729,368,519.14/83,219.76
  6. Step 6: Final answer
    x = 44,813.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.