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Finding the Fourth Proportional to 33,038.96, 49,548 and 10,848.68

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Solution

The fourth proportional to 33,038.96, 49,548 and 10,848.68 is: 16,269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,038.96 : 49,548 = 10,848.68 : x
  2. Step 2: Convert to fraction form
    33,038.96/49,548 = 10,848.68/x
  3. Step 3: Cross multiply
    33,038.96x = 49,548 × 10,848.68
  4. Step 4: Simplify right side
    33,038.96x = 537,530,396.64
  5. Step 5: Solve for x
    x = 537,530,396.64/33,038.96
  6. Step 6: Final answer
    x = 16,269.59

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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.