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Finding the Fourth Proportional to 48,119.56, 72,177.72 and 16,954

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Solution

The fourth proportional to 48,119.56, 72,177.72 and 16,954 is: 25,430.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,119.56 : 72,177.72 = 16,954 : x
  2. Step 2: Convert to fraction form
    48,119.56/72,177.72 = 16,954/x
  3. Step 3: Cross multiply
    48,119.56x = 72,177.72 × 16,954
  4. Step 4: Simplify right side
    48,119.56x = 1,223,701,064.88
  5. Step 5: Solve for x
    x = 1,223,701,064.88/48,119.56
  6. Step 6: Final answer
    x = 25,430.43

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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.