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Finding the Fourth Proportional to 34,138.82, 47,107.77 and 19,030.34

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Solution

The fourth proportional to 34,138.82, 47,107.77 and 19,030.34 is: 26,259.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,138.82 : 47,107.77 = 19,030.34 : x
  2. Step 2: Convert to fraction form
    34,138.82/47,107.77 = 19,030.34/x
  3. Step 3: Cross multiply
    34,138.82x = 47,107.77 × 19,030.34
  4. Step 4: Simplify right side
    34,138.82x = 896,476,879.74
  5. Step 5: Solve for x
    x = 896,476,879.74/34,138.82
  6. Step 6: Final answer
    x = 26,259.75

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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.