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Finding the Fourth Proportional to 50,643.60, 75,965.40 and 27,315.60

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Solution

The fourth proportional to 50,643.60, 75,965.40 and 27,315.60 is: 40,973.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,643.60 : 75,965.40 = 27,315.60 : x
  2. Step 2: Convert to fraction form
    50,643.60/75,965.40 = 27,315.60/x
  3. Step 3: Cross multiply
    50,643.60x = 75,965.40 × 27,315.60
  4. Step 4: Simplify right side
    50,643.60x = 2,075,040,480.24
  5. Step 5: Solve for x
    x = 2,075,040,480.24/50,643.60
  6. Step 6: Final answer
    x = 40,973.40

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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.