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Finding the Fourth Proportional to 34,182.46, 47,171.90 and 19,075.76

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Solution

The fourth proportional to 34,182.46, 47,171.90 and 19,075.76 is: 26,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,182.46 : 47,171.90 = 19,075.76 : x
  2. Step 2: Convert to fraction form
    34,182.46/47,171.90 = 19,075.76/x
  3. Step 3: Cross multiply
    34,182.46x = 47,171.90 × 19,075.76
  4. Step 4: Simplify right side
    34,182.46x = 899,839,511.91
  5. Step 5: Solve for x
    x = 899,839,511.91/34,182.46
  6. Step 6: Final answer
    x = 26,324.60

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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.