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Finding the Fourth Proportional to 31,415.54, 43,353.74 and 17,075.40

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Solution

The fourth proportional to 31,415.54, 43,353.74 and 17,075.40 is: 23,564.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,415.54 : 43,353.74 = 17,075.40 : x
  2. Step 2: Convert to fraction form
    31,415.54/43,353.74 = 17,075.40/x
  3. Step 3: Cross multiply
    31,415.54x = 43,353.74 × 17,075.40
  4. Step 4: Simplify right side
    31,415.54x = 740,282,452.00
  5. Step 5: Solve for x
    x = 740,282,452.00/31,415.54
  6. Step 6: Final answer
    x = 23,564.21

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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.