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Finding the Fourth Proportional to 47,206.44, 70,809 and 19,126.26

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Solution

The fourth proportional to 47,206.44, 70,809 and 19,126.26 is: 28,689.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,206.44 : 70,809 = 19,126.26 : x
  2. Step 2: Convert to fraction form
    47,206.44/70,809 = 19,126.26/x
  3. Step 3: Cross multiply
    47,206.44x = 70,809 × 19,126.26
  4. Step 4: Simplify right side
    47,206.44x = 1,354,311,344.34
  5. Step 5: Solve for x
    x = 1,354,311,344.34/47,206.44
  6. Step 6: Final answer
    x = 28,689.12

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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.