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Finding the Fourth Proportional to 47,048, 70,590.40 and 20,734.24

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Solution

The fourth proportional to 47,048, 70,590.40 and 20,734.24 is: 31,109.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,048 : 70,590.40 = 20,734.24 : x
  2. Step 2: Convert to fraction form
    47,048/70,590.40 = 20,734.24/x
  3. Step 3: Cross multiply
    47,048x = 70,590.40 × 20,734.24
  4. Step 4: Simplify right side
    47,048x = 1,463,638,295.30
  5. Step 5: Solve for x
    x = 1,463,638,295.30/47,048
  6. Step 6: Final answer
    x = 31,109.47

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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.