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Finding the Fourth Proportional to 34,015.35, 46,909.77 and 21,264.48

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Solution

The fourth proportional to 34,015.35, 46,909.77 and 21,264.48 is: 29,325.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,015.35 : 46,909.77 = 21,264.48 : x
  2. Step 2: Convert to fraction form
    34,015.35/46,909.77 = 21,264.48/x
  3. Step 3: Cross multiply
    34,015.35x = 46,909.77 × 21,264.48
  4. Step 4: Simplify right side
    34,015.35x = 997,511,865.97
  5. Step 5: Solve for x
    x = 997,511,865.97/34,015.35
  6. Step 6: Final answer
    x = 29,325.34

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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.