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Finding the Fourth Proportional to 56,513.73, 77,982.31 and 33,540

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Solution

The fourth proportional to 56,513.73, 77,982.31 and 33,540 is: 46,281.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,513.73 : 77,982.31 = 33,540 : x
  2. Step 2: Convert to fraction form
    56,513.73/77,982.31 = 33,540/x
  3. Step 3: Cross multiply
    56,513.73x = 77,982.31 × 33,540
  4. Step 4: Simplify right side
    56,513.73x = 2,615,526,677.40
  5. Step 5: Solve for x
    x = 2,615,526,677.40/56,513.73
  6. Step 6: Final answer
    x = 46,281.26

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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.