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Finding the Fourth Proportional to 53,046.96, 73,193.40 and 30,678

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Solution

The fourth proportional to 53,046.96, 73,193.40 and 30,678 is: 42,329.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,046.96 : 73,193.40 = 30,678 : x
  2. Step 2: Convert to fraction form
    53,046.96/73,193.40 = 30,678/x
  3. Step 3: Cross multiply
    53,046.96x = 73,193.40 × 30,678
  4. Step 4: Simplify right side
    53,046.96x = 2,245,427,125.20
  5. Step 5: Solve for x
    x = 2,245,427,125.20/53,046.96
  6. Step 6: Final answer
    x = 42,329.04

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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.