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Finding the Fourth Proportional to 73,876.40, 110,782.20 and 29,488.40

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Solution

The fourth proportional to 73,876.40, 110,782.20 and 29,488.40 is: 44,219.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,876.40 : 110,782.20 = 29,488.40 : x
  2. Step 2: Convert to fraction form
    73,876.40/110,782.20 = 29,488.40/x
  3. Step 3: Cross multiply
    73,876.40x = 110,782.20 × 29,488.40
  4. Step 4: Simplify right side
    73,876.40x = 3,266,789,826.48
  5. Step 5: Solve for x
    x = 3,266,789,826.48/73,876.40
  6. Step 6: Final answer
    x = 44,219.67

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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.