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Finding the Fourth Proportional to 72,078.56, 99,457.98 and 43,778.78

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Solution

The fourth proportional to 72,078.56, 99,457.98 and 43,778.78 is: 60,408.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,078.56 : 99,457.98 = 43,778.78 : x
  2. Step 2: Convert to fraction form
    72,078.56/99,457.98 = 43,778.78/x
  3. Step 3: Cross multiply
    72,078.56x = 99,457.98 × 43,778.78
  4. Step 4: Simplify right side
    72,078.56x = 4,354,149,025.66
  5. Step 5: Solve for x
    x = 4,354,149,025.66/72,078.56
  6. Step 6: Final answer
    x = 60,408.38

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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.