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Finding the Fourth Proportional to 114,424.38, 171,672.41 and 51,297.44

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Solution

The fourth proportional to 114,424.38, 171,672.41 and 51,297.44 is: 76,962.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,424.38 : 171,672.41 = 51,297.44 : x
  2. Step 2: Convert to fraction form
    114,424.38/171,672.41 = 51,297.44/x
  3. Step 3: Cross multiply
    114,424.38x = 171,672.41 × 51,297.44
  4. Step 4: Simplify right side
    114,424.38x = 8,806,354,421.51
  5. Step 5: Solve for x
    x = 8,806,354,421.51/114,424.38
  6. Step 6: Final answer
    x = 76,962.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.