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Finding the Fourth Proportional to 34,274.02, 47,284.23 and 22,333

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Solution

The fourth proportional to 34,274.02, 47,284.23 and 22,333 is: 30,810.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,274.02 : 47,284.23 = 22,333 : x
  2. Step 2: Convert to fraction form
    34,274.02/47,284.23 = 22,333/x
  3. Step 3: Cross multiply
    34,274.02x = 47,284.23 × 22,333
  4. Step 4: Simplify right side
    34,274.02x = 1,055,998,708.59
  5. Step 5: Solve for x
    x = 1,055,998,708.59/34,274.02
  6. Step 6: Final answer
    x = 30,810.47

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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.