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Finding the Fourth Proportional to 34,727.40, 47,879.28 and 22,770

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Solution

The fourth proportional to 34,727.40, 47,879.28 and 22,770 is: 31,393.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,727.40 : 47,879.28 = 22,770 : x
  2. Step 2: Convert to fraction form
    34,727.40/47,879.28 = 22,770/x
  3. Step 3: Cross multiply
    34,727.40x = 47,879.28 × 22,770
  4. Step 4: Simplify right side
    34,727.40x = 1,090,211,205.60
  5. Step 5: Solve for x
    x = 1,090,211,205.60/34,727.40
  6. Step 6: Final answer
    x = 31,393.40

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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.