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Finding the Fourth Proportional to 74,734, 112,100.72 and 24,817.84

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Solution

The fourth proportional to 74,734, 112,100.72 and 24,817.84 is: 37,226.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,734 : 112,100.72 = 24,817.84 : x
  2. Step 2: Convert to fraction form
    74,734/112,100.72 = 24,817.84/x
  3. Step 3: Cross multiply
    74,734x = 112,100.72 × 24,817.84
  4. Step 4: Simplify right side
    74,734x = 2,782,097,732.84
  5. Step 5: Solve for x
    x = 2,782,097,732.84/74,734
  6. Step 6: Final answer
    x = 37,226.67

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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.