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Finding the Fourth Proportional to 33,075.11, 49,615.63 and 9,382.88

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Solution

The fourth proportional to 33,075.11, 49,615.63 and 9,382.88 is: 14,075.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,075.11 : 49,615.63 = 9,382.88 : x
  2. Step 2: Convert to fraction form
    33,075.11/49,615.63 = 9,382.88/x
  3. Step 3: Cross multiply
    33,075.11x = 49,615.63 × 9,382.88
  4. Step 4: Simplify right side
    33,075.11x = 465,537,603.00
  5. Step 5: Solve for x
    x = 465,537,603.00/33,075.11
  6. Step 6: Final answer
    x = 14,075.16

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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.