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Finding the Fourth Proportional to 30,299.84, 41,774.69 and 24,828.57

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Solution

The fourth proportional to 30,299.84, 41,774.69 and 24,828.57 is: 34,231.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,299.84 : 41,774.69 = 24,828.57 : x
  2. Step 2: Convert to fraction form
    30,299.84/41,774.69 = 24,828.57/x
  3. Step 3: Cross multiply
    30,299.84x = 41,774.69 × 24,828.57
  4. Step 4: Simplify right side
    30,299.84x = 1,037,205,814.89
  5. Step 5: Solve for x
    x = 1,037,205,814.89/30,299.84
  6. Step 6: Final answer
    x = 34,231.40

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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.