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Finding the Fourth Proportional to 35,175.65, 52,760.50 and 13,828.80

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Solution

The fourth proportional to 35,175.65, 52,760.50 and 13,828.80 is: 20,742.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,175.65 : 52,760.50 = 13,828.80 : x
  2. Step 2: Convert to fraction form
    35,175.65/52,760.50 = 13,828.80/x
  3. Step 3: Cross multiply
    35,175.65x = 52,760.50 × 13,828.80
  4. Step 4: Simplify right side
    35,175.65x = 729,614,565.68
  5. Step 5: Solve for x
    x = 729,614,565.68/35,175.65
  6. Step 6: Final answer
    x = 20,742.04

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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.