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Finding the Fourth Proportional to 51,906.10, 71,630.40 and 28,032.77

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Solution

The fourth proportional to 51,906.10, 71,630.40 and 28,032.77 is: 38,685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,906.10 : 71,630.40 = 28,032.77 : x
  2. Step 2: Convert to fraction form
    51,906.10/71,630.40 = 28,032.77/x
  3. Step 3: Cross multiply
    51,906.10x = 71,630.40 × 28,032.77
  4. Step 4: Simplify right side
    51,906.10x = 2,007,998,528.21
  5. Step 5: Solve for x
    x = 2,007,998,528.21/51,906.10
  6. Step 6: Final answer
    x = 38,685.21

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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.