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Finding the Fourth Proportional to 55,371.60, 76,412 and 30,219.44

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Solution

The fourth proportional to 55,371.60, 76,412 and 30,219.44 is: 41,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,371.60 : 76,412 = 30,219.44 : x
  2. Step 2: Convert to fraction form
    55,371.60/76,412 = 30,219.44/x
  3. Step 3: Cross multiply
    55,371.60x = 76,412 × 30,219.44
  4. Step 4: Simplify right side
    55,371.60x = 2,309,127,849.28
  5. Step 5: Solve for x
    x = 2,309,127,849.28/55,371.60
  6. Step 6: Final answer
    x = 41,702.39

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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.