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Finding the Fourth Proportional to 38,264.40, 57,418.74 and 16,075.80

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Solution

The fourth proportional to 38,264.40, 57,418.74 and 16,075.80 is: 24,123.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,264.40 : 57,418.74 = 16,075.80 : x
  2. Step 2: Convert to fraction form
    38,264.40/57,418.74 = 16,075.80/x
  3. Step 3: Cross multiply
    38,264.40x = 57,418.74 × 16,075.80
  4. Step 4: Simplify right side
    38,264.40x = 923,052,180.49
  5. Step 5: Solve for x
    x = 923,052,180.49/38,264.40
  6. Step 6: Final answer
    x = 24,123.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.