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Finding the Fourth Proportional to 33,088.30, 49,627.59 and 13,366.42

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Solution

The fourth proportional to 33,088.30, 49,627.59 and 13,366.42 is: 20,047.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,088.30 : 49,627.59 = 13,366.42 : x
  2. Step 2: Convert to fraction form
    33,088.30/49,627.59 = 13,366.42/x
  3. Step 3: Cross multiply
    33,088.30x = 49,627.59 × 13,366.42
  4. Step 4: Simplify right side
    33,088.30x = 663,343,211.53
  5. Step 5: Solve for x
    x = 663,343,211.53/33,088.30
  6. Step 6: Final answer
    x = 20,047.67

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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.