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Finding the Fourth Proportional to 34,519.58, 47,633.56 and 19,409.84

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Solution

The fourth proportional to 34,519.58, 47,633.56 and 19,409.84 is: 26,783.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,519.58 : 47,633.56 = 19,409.84 : x
  2. Step 2: Convert to fraction form
    34,519.58/47,633.56 = 19,409.84/x
  3. Step 3: Cross multiply
    34,519.58x = 47,633.56 × 19,409.84
  4. Step 4: Simplify right side
    34,519.58x = 924,559,491.54
  5. Step 5: Solve for x
    x = 924,559,491.54/34,519.58
  6. Step 6: Final answer
    x = 26,783.63

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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.