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Finding the Fourth Proportional to 50,851.79, 76,278.84 and 13,415.63

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Solution

The fourth proportional to 50,851.79, 76,278.84 and 13,415.63 is: 20,123.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,851.79 : 76,278.84 = 13,415.63 : x
  2. Step 2: Convert to fraction form
    50,851.79/76,278.84 = 13,415.63/x
  3. Step 3: Cross multiply
    50,851.79x = 76,278.84 × 13,415.63
  4. Step 4: Simplify right side
    50,851.79x = 1,023,328,627.19
  5. Step 5: Solve for x
    x = 1,023,328,627.19/50,851.79
  6. Step 6: Final answer
    x = 20,123.75

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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.