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Finding the Fourth Proportional to 57,075.50, 78,783.62 and 33,222.21

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Solution

The fourth proportional to 57,075.50, 78,783.62 and 33,222.21 is: 45,857.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,075.50 : 78,783.62 = 33,222.21 : x
  2. Step 2: Convert to fraction form
    57,075.50/78,783.62 = 33,222.21/x
  3. Step 3: Cross multiply
    57,075.50x = 78,783.62 × 33,222.21
  4. Step 4: Simplify right side
    57,075.50x = 2,617,366,165.16
  5. Step 5: Solve for x
    x = 2,617,366,165.16/57,075.50
  6. Step 6: Final answer
    x = 45,857.96

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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.