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Finding the Fourth Proportional to 50,905.64, 76,340.16 and 17,616.67

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Solution

The fourth proportional to 50,905.64, 76,340.16 and 17,616.67 is: 26,418.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,905.64 : 76,340.16 = 17,616.67 : x
  2. Step 2: Convert to fraction form
    50,905.64/76,340.16 = 17,616.67/x
  3. Step 3: Cross multiply
    50,905.64x = 76,340.16 × 17,616.67
  4. Step 4: Simplify right side
    50,905.64x = 1,344,859,024.77
  5. Step 5: Solve for x
    x = 1,344,859,024.77/50,905.64
  6. Step 6: Final answer
    x = 26,418.66

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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.