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Finding the Fourth Proportional to 34,550.66, 47,679.38 and 19,442.14

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Solution

The fourth proportional to 34,550.66, 47,679.38 and 19,442.14 is: 26,829.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,550.66 : 47,679.38 = 19,442.14 : x
  2. Step 2: Convert to fraction form
    34,550.66/47,679.38 = 19,442.14/x
  3. Step 3: Cross multiply
    34,550.66x = 47,679.38 × 19,442.14
  4. Step 4: Simplify right side
    34,550.66x = 926,989,181.07
  5. Step 5: Solve for x
    x = 926,989,181.07/34,550.66
  6. Step 6: Final answer
    x = 26,829.85

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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.