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Finding the Fourth Proportional to 47,696.72, 65,827.60 and 28,833.84

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Solution

The fourth proportional to 47,696.72, 65,827.60 and 28,833.84 is: 39,794.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,696.72 : 65,827.60 = 28,833.84 : x
  2. Step 2: Convert to fraction form
    47,696.72/65,827.60 = 28,833.84/x
  3. Step 3: Cross multiply
    47,696.72x = 65,827.60 × 28,833.84
  4. Step 4: Simplify right side
    47,696.72x = 1,898,062,485.98
  5. Step 5: Solve for x
    x = 1,898,062,485.98/47,696.72
  6. Step 6: Final answer
    x = 39,794.40

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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.