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Finding the Fourth Proportional to 78,408.96, 108,200.96 and 44,874.24

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Solution

The fourth proportional to 78,408.96, 108,200.96 and 44,874.24 is: 61,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,408.96 : 108,200.96 = 44,874.24 : x
  2. Step 2: Convert to fraction form
    78,408.96/108,200.96 = 44,874.24/x
  3. Step 3: Cross multiply
    78,408.96x = 108,200.96 × 44,874.24
  4. Step 4: Simplify right side
    78,408.96x = 4,855,435,847.27
  5. Step 5: Solve for x
    x = 4,855,435,847.27/78,408.96
  6. Step 6: Final answer
    x = 61,924.50

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1.5x scale

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.