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Finding the Fourth Proportional to 74,044.80, 111,093.12 and 21,457.44

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Solution

The fourth proportional to 74,044.80, 111,093.12 and 21,457.44 is: 32,193.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,044.80 : 111,093.12 = 21,457.44 : x
  2. Step 2: Convert to fraction form
    74,044.80/111,093.12 = 21,457.44/x
  3. Step 3: Cross multiply
    74,044.80x = 111,093.12 × 21,457.44
  4. Step 4: Simplify right side
    74,044.80x = 2,383,773,956.81
  5. Step 5: Solve for x
    x = 2,383,773,956.81/74,044.80
  6. Step 6: Final answer
    x = 32,193.67

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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.