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Finding the Fourth Proportional to 81,640.40, 122,431.80 and 37,288.40

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Solution

The fourth proportional to 81,640.40, 122,431.80 and 37,288.40 is: 55,919.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,640.40 : 122,431.80 = 37,288.40 : x
  2. Step 2: Convert to fraction form
    81,640.40/122,431.80 = 37,288.40/x
  3. Step 3: Cross multiply
    81,640.40x = 122,431.80 × 37,288.40
  4. Step 4: Simplify right side
    81,640.40x = 4,565,285,931.12
  5. Step 5: Solve for x
    x = 4,565,285,931.12/81,640.40
  6. Step 6: Final answer
    x = 55,919.45

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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.