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Finding the Fourth Proportional to 42,381.44, 63,556.86 and 12,790.16

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Solution

The fourth proportional to 42,381.44, 63,556.86 and 12,790.16 is: 19,180.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,381.44 : 63,556.86 = 12,790.16 : x
  2. Step 2: Convert to fraction form
    42,381.44/63,556.86 = 12,790.16/x
  3. Step 3: Cross multiply
    42,381.44x = 63,556.86 × 12,790.16
  4. Step 4: Simplify right side
    42,381.44x = 812,902,408.50
  5. Step 5: Solve for x
    x = 812,902,408.50/42,381.44
  6. Step 6: Final answer
    x = 19,180.62

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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.