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Finding the Fourth Proportional to 34,135.87, 47,107.70 and 19,029.49

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Solution

The fourth proportional to 34,135.87, 47,107.70 and 19,029.49 is: 26,260.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,135.87 : 47,107.70 = 19,029.49 : x
  2. Step 2: Convert to fraction form
    34,135.87/47,107.70 = 19,029.49/x
  3. Step 3: Cross multiply
    34,135.87x = 47,107.70 × 19,029.49
  4. Step 4: Simplify right side
    34,135.87x = 896,435,506.07
  5. Step 5: Solve for x
    x = 896,435,506.07/34,135.87
  6. Step 6: Final answer
    x = 26,260.81

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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.