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Finding the Fourth Proportional to 50,845.77, 70,165.92 and 28,184.35

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Solution

The fourth proportional to 50,845.77, 70,165.92 and 28,184.35 is: 38,893.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,845.77 : 70,165.92 = 28,184.35 : x
  2. Step 2: Convert to fraction form
    50,845.77/70,165.92 = 28,184.35/x
  3. Step 3: Cross multiply
    50,845.77x = 70,165.92 × 28,184.35
  4. Step 4: Simplify right side
    50,845.77x = 1,977,580,671.94
  5. Step 5: Solve for x
    x = 1,977,580,671.94/50,845.77
  6. Step 6: Final answer
    x = 38,893.71

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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.