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Finding the Fourth Proportional to 33,085.58, 49,599.19 and 12,294.50

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Solution

The fourth proportional to 33,085.58, 49,599.19 and 12,294.50 is: 18,430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,085.58 : 49,599.19 = 12,294.50 : x
  2. Step 2: Convert to fraction form
    33,085.58/49,599.19 = 12,294.50/x
  3. Step 3: Cross multiply
    33,085.58x = 49,599.19 × 12,294.50
  4. Step 4: Simplify right side
    33,085.58x = 609,797,241.46
  5. Step 5: Solve for x
    x = 609,797,241.46/33,085.58
  6. Step 6: Final answer
    x = 18,430.91

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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.