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Finding the Fourth Proportional to 74,390.98, 111,638.30 and 32,815.30

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Solution

The fourth proportional to 74,390.98, 111,638.30 and 32,815.30 is: 49,245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,390.98 : 111,638.30 = 32,815.30 : x
  2. Step 2: Convert to fraction form
    74,390.98/111,638.30 = 32,815.30/x
  3. Step 3: Cross multiply
    74,390.98x = 111,638.30 × 32,815.30
  4. Step 4: Simplify right side
    74,390.98x = 3,663,444,305.99
  5. Step 5: Solve for x
    x = 3,663,444,305.99/74,390.98
  6. Step 6: Final answer
    x = 49,245.81

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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.