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Finding the Fourth Proportional to 117,559.96, 176,296.20 and 47,401

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Solution

The fourth proportional to 117,559.96, 176,296.20 and 47,401 is: 71,083.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,559.96 : 176,296.20 = 47,401 : x
  2. Step 2: Convert to fraction form
    117,559.96/176,296.20 = 47,401/x
  3. Step 3: Cross multiply
    117,559.96x = 176,296.20 × 47,401
  4. Step 4: Simplify right side
    117,559.96x = 8,356,616,176.20
  5. Step 5: Solve for x
    x = 8,356,616,176.20/117,559.96
  6. Step 6: Final answer
    x = 71,083.86

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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.