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Finding the Fourth Proportional to 29,643.12, 40,912.56 and 17,075.16

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Solution

The fourth proportional to 29,643.12, 40,912.56 and 17,075.16 is: 23,566.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,643.12 : 40,912.56 = 17,075.16 : x
  2. Step 2: Convert to fraction form
    29,643.12/40,912.56 = 17,075.16/x
  3. Step 3: Cross multiply
    29,643.12x = 40,912.56 × 17,075.16
  4. Step 4: Simplify right side
    29,643.12x = 698,588,508.01
  5. Step 5: Solve for x
    x = 698,588,508.01/29,643.12
  6. Step 6: Final answer
    x = 23,566.63

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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.