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Finding the Fourth Proportional to 39,702.79, 54,785.78 and 23,786.83

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Solution

The fourth proportional to 39,702.79, 54,785.78 and 23,786.83 is: 32,823.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,702.79 : 54,785.78 = 23,786.83 : x
  2. Step 2: Convert to fraction form
    39,702.79/54,785.78 = 23,786.83/x
  3. Step 3: Cross multiply
    39,702.79x = 54,785.78 × 23,786.83
  4. Step 4: Simplify right side
    39,702.79x = 1,303,179,916.34
  5. Step 5: Solve for x
    x = 1,303,179,916.34/39,702.79
  6. Step 6: Final answer
    x = 32,823.38

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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.