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Finding the Fourth Proportional to 58,467.44, 80,665.96 and 35,782.80

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Solution

The fourth proportional to 58,467.44, 80,665.96 and 35,782.80 is: 49,368.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,467.44 : 80,665.96 = 35,782.80 : x
  2. Step 2: Convert to fraction form
    58,467.44/80,665.96 = 35,782.80/x
  3. Step 3: Cross multiply
    58,467.44x = 80,665.96 × 35,782.80
  4. Step 4: Simplify right side
    58,467.44x = 2,886,453,913.49
  5. Step 5: Solve for x
    x = 2,886,453,913.49/58,467.44
  6. Step 6: Final answer
    x = 49,368.57

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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.