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Finding the Fourth Proportional to 55,291.42, 82,937.19 and 13,738.42

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Solution

The fourth proportional to 55,291.42, 82,937.19 and 13,738.42 is: 20,607.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,291.42 : 82,937.19 = 13,738.42 : x
  2. Step 2: Convert to fraction form
    55,291.42/82,937.19 = 13,738.42/x
  3. Step 3: Cross multiply
    55,291.42x = 82,937.19 × 13,738.42
  4. Step 4: Simplify right side
    55,291.42x = 1,139,425,673.80
  5. Step 5: Solve for x
    x = 1,139,425,673.80/55,291.42
  6. Step 6: Final answer
    x = 20,607.64

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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.