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Finding the Fourth Proportional to 34,219.28, 47,206.32 and 22,278.20

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Solution

The fourth proportional to 34,219.28, 47,206.32 and 22,278.20 is: 30,733.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,219.28 : 47,206.32 = 22,278.20 : x
  2. Step 2: Convert to fraction form
    34,219.28/47,206.32 = 22,278.20/x
  3. Step 3: Cross multiply
    34,219.28x = 47,206.32 × 22,278.20
  4. Step 4: Simplify right side
    34,219.28x = 1,051,671,838.22
  5. Step 5: Solve for x
    x = 1,051,671,838.22/34,219.28
  6. Step 6: Final answer
    x = 30,733.31

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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.