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Finding the Fourth Proportional to 34,078.84, 47,029.32 and 18,972.32

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Solution

The fourth proportional to 34,078.84, 47,029.32 and 18,972.32 is: 26,182.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,078.84 : 47,029.32 = 18,972.32 : x
  2. Step 2: Convert to fraction form
    34,078.84/47,029.32 = 18,972.32/x
  3. Step 3: Cross multiply
    34,078.84x = 47,029.32 × 18,972.32
  4. Step 4: Simplify right side
    34,078.84x = 892,255,308.42
  5. Step 5: Solve for x
    x = 892,255,308.42/34,078.84
  6. Step 6: Final answer
    x = 26,182.09

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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.