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Finding the Fourth Proportional to 53,193.60, 73,431.36 and 37,890

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Solution

The fourth proportional to 53,193.60, 73,431.36 and 37,890 is: 52,305.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,193.60 : 73,431.36 = 37,890 : x
  2. Step 2: Convert to fraction form
    53,193.60/73,431.36 = 37,890/x
  3. Step 3: Cross multiply
    53,193.60x = 73,431.36 × 37,890
  4. Step 4: Simplify right side
    53,193.60x = 2,782,314,230.40
  5. Step 5: Solve for x
    x = 2,782,314,230.40/53,193.60
  6. Step 6: Final answer
    x = 52,305.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.