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Finding the Fourth Proportional to 74,075.77, 102,224.84 and 40,084.26

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Solution

The fourth proportional to 74,075.77, 102,224.84 and 40,084.26 is: 55,316.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,075.77 : 102,224.84 = 40,084.26 : x
  2. Step 2: Convert to fraction form
    74,075.77/102,224.84 = 40,084.26/x
  3. Step 3: Cross multiply
    74,075.77x = 102,224.84 × 40,084.26
  4. Step 4: Simplify right side
    74,075.77x = 4,097,606,609.04
  5. Step 5: Solve for x
    x = 4,097,606,609.04/74,075.77
  6. Step 6: Final answer
    x = 55,316.42

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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.