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Finding the Fourth Proportional to 50,782.65, 76,127.33 and 17,494.80

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Solution

The fourth proportional to 50,782.65, 76,127.33 and 17,494.80 is: 26,226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,782.65 : 76,127.33 = 17,494.80 : x
  2. Step 2: Convert to fraction form
    50,782.65/76,127.33 = 17,494.80/x
  3. Step 3: Cross multiply
    50,782.65x = 76,127.33 × 17,494.80
  4. Step 4: Simplify right side
    50,782.65x = 1,331,832,325.41
  5. Step 5: Solve for x
    x = 1,331,832,325.41/50,782.65
  6. Step 6: Final answer
    x = 26,226.13

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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.