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Finding the Fourth Proportional to 50,782.56, 76,178.88 and 17,498.16

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Solution

The fourth proportional to 50,782.56, 76,178.88 and 17,498.16 is: 26,248.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,782.56 : 76,178.88 = 17,498.16 : x
  2. Step 2: Convert to fraction form
    50,782.56/76,178.88 = 17,498.16/x
  3. Step 3: Cross multiply
    50,782.56x = 76,178.88 × 17,498.16
  4. Step 4: Simplify right side
    50,782.56x = 1,332,990,230.86
  5. Step 5: Solve for x
    x = 1,332,990,230.86/50,782.56
  6. Step 6: Final answer
    x = 26,248.98

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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.