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Finding the Fourth Proportional to 47,294.98, 65,267.52 and 26,075

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Solution

The fourth proportional to 47,294.98, 65,267.52 and 26,075 is: 35,983.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,294.98 : 65,267.52 = 26,075 : x
  2. Step 2: Convert to fraction form
    47,294.98/65,267.52 = 26,075/x
  3. Step 3: Cross multiply
    47,294.98x = 65,267.52 × 26,075
  4. Step 4: Simplify right side
    47,294.98x = 1,701,850,453.63
  5. Step 5: Solve for x
    x = 1,701,850,453.63/47,294.98
  6. Step 6: Final answer
    x = 35,983.75

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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.