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Finding the Fourth Proportional to 50,964.88, 76,417.13 and 15,415.42

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Solution

The fourth proportional to 50,964.88, 76,417.13 and 15,415.42 is: 23,114.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,964.88 : 76,417.13 = 15,415.42 : x
  2. Step 2: Convert to fraction form
    50,964.88/76,417.13 = 15,415.42/x
  3. Step 3: Cross multiply
    50,964.88x = 76,417.13 × 15,415.42
  4. Step 4: Simplify right side
    50,964.88x = 1,178,002,154.14
  5. Step 5: Solve for x
    x = 1,178,002,154.14/50,964.88
  6. Step 6: Final answer
    x = 23,114.00

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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.