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Finding the Fourth Proportional to 50,971.66, 76,383.56 and 28,737.60

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Solution

The fourth proportional to 50,971.66, 76,383.56 and 28,737.60 is: 43,064.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,971.66 : 76,383.56 = 28,737.60 : x
  2. Step 2: Convert to fraction form
    50,971.66/76,383.56 = 28,737.60/x
  3. Step 3: Cross multiply
    50,971.66x = 76,383.56 × 28,737.60
  4. Step 4: Simplify right side
    50,971.66x = 2,195,080,193.86
  5. Step 5: Solve for x
    x = 2,195,080,193.86/50,971.66
  6. Step 6: Final answer
    x = 43,064.72

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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.