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Finding the Fourth Proportional to 34,847.53, 48,089.70 and 19,742.99

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Solution

The fourth proportional to 34,847.53, 48,089.70 and 19,742.99 is: 27,245.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,847.53 : 48,089.70 = 19,742.99 : x
  2. Step 2: Convert to fraction form
    34,847.53/48,089.70 = 19,742.99/x
  3. Step 3: Cross multiply
    34,847.53x = 48,089.70 × 19,742.99
  4. Step 4: Simplify right side
    34,847.53x = 949,434,225.75
  5. Step 5: Solve for x
    x = 949,434,225.75/34,847.53
  6. Step 6: Final answer
    x = 27,245.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.