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Finding the Fourth Proportional to 34,219, 47,222.22 and 19,315

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Solution

The fourth proportional to 34,219, 47,222.22 and 19,315 is: 26,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,219 : 47,222.22 = 19,315 : x
  2. Step 2: Convert to fraction form
    34,219/47,222.22 = 19,315/x
  3. Step 3: Cross multiply
    34,219x = 47,222.22 × 19,315
  4. Step 4: Simplify right side
    34,219x = 912,097,179.30
  5. Step 5: Solve for x
    x = 912,097,179.30/34,219
  6. Step 6: Final answer
    x = 26,654.70

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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.