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Finding the Fourth Proportional to 47,696.28, 65,826.93 and 28,833.36

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Solution

The fourth proportional to 47,696.28, 65,826.93 and 28,833.36 is: 39,793.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,696.28 : 65,826.93 = 28,833.36 : x
  2. Step 2: Convert to fraction form
    47,696.28/65,826.93 = 28,833.36/x
  3. Step 3: Cross multiply
    47,696.28x = 65,826.93 × 28,833.36
  4. Step 4: Simplify right side
    47,696.28x = 1,898,011,570.38
  5. Step 5: Solve for x
    x = 1,898,011,570.38/47,696.28
  6. Step 6: Final answer
    x = 39,793.70

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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.