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Finding the Fourth Proportional to 50,478.51, 75,728.57 and 15,420.75

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Solution

The fourth proportional to 50,478.51, 75,728.57 and 15,420.75 is: 23,134.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,478.51 : 75,728.57 = 15,420.75 : x
  2. Step 2: Convert to fraction form
    50,478.51/75,728.57 = 15,420.75/x
  3. Step 3: Cross multiply
    50,478.51x = 75,728.57 × 15,420.75
  4. Step 4: Simplify right side
    50,478.51x = 1,167,791,268.72
  5. Step 5: Solve for x
    x = 1,167,791,268.72/50,478.51
  6. Step 6: Final answer
    x = 23,134.42

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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.