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Finding the Fourth Proportional to 29,766, 41,075.50 and 16,337.04

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Solution

The fourth proportional to 29,766, 41,075.50 and 16,337.04 is: 22,544.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,766 : 41,075.50 = 16,337.04 : x
  2. Step 2: Convert to fraction form
    29,766/41,075.50 = 16,337.04/x
  3. Step 3: Cross multiply
    29,766x = 41,075.50 × 16,337.04
  4. Step 4: Simplify right side
    29,766x = 671,052,086.52
  5. Step 5: Solve for x
    x = 671,052,086.52/29,766
  6. Step 6: Final answer
    x = 22,544.25

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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.