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Finding the Fourth Proportional to 29,782.44, 44,447.47 and 28,576.89

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Solution

The fourth proportional to 29,782.44, 44,447.47 and 28,576.89 is: 42,648.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,782.44 : 44,447.47 = 28,576.89 : x
  2. Step 2: Convert to fraction form
    29,782.44/44,447.47 = 28,576.89/x
  3. Step 3: Cross multiply
    29,782.44x = 44,447.47 × 28,576.89
  4. Step 4: Simplify right side
    29,782.44x = 1,270,170,389.53
  5. Step 5: Solve for x
    x = 1,270,170,389.53/29,782.44
  6. Step 6: Final answer
    x = 42,648.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.