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Finding the Fourth Proportional to 30,445.96, 41,988.19 and 19,116.50

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Solution

The fourth proportional to 30,445.96, 41,988.19 and 19,116.50 is: 26,363.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,445.96 : 41,988.19 = 19,116.50 : x
  2. Step 2: Convert to fraction form
    30,445.96/41,988.19 = 19,116.50/x
  3. Step 3: Cross multiply
    30,445.96x = 41,988.19 × 19,116.50
  4. Step 4: Simplify right side
    30,445.96x = 802,667,234.14
  5. Step 5: Solve for x
    x = 802,667,234.14/30,445.96
  6. Step 6: Final answer
    x = 26,363.67

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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.