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Finding the Fourth Proportional to 74,380.96, 102,645.72 and 40,389.28

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Solution

The fourth proportional to 74,380.96, 102,645.72 and 40,389.28 is: 55,737.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,380.96 : 102,645.72 = 40,389.28 : x
  2. Step 2: Convert to fraction form
    74,380.96/102,645.72 = 40,389.28/x
  3. Step 3: Cross multiply
    74,380.96x = 102,645.72 × 40,389.28
  4. Step 4: Simplify right side
    74,380.96x = 4,145,786,725.88
  5. Step 5: Solve for x
    x = 4,145,786,725.88/74,380.96
  6. Step 6: Final answer
    x = 55,737.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.