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Finding the Fourth Proportional to 53,308.96, 73,542 and 30,940

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Solution

The fourth proportional to 53,308.96, 73,542 and 30,940 is: 42,683.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,308.96 : 73,542 = 30,940 : x
  2. Step 2: Convert to fraction form
    53,308.96/73,542 = 30,940/x
  3. Step 3: Cross multiply
    53,308.96x = 73,542 × 30,940
  4. Step 4: Simplify right side
    53,308.96x = 2,275,389,480
  5. Step 5: Solve for x
    x = 2,275,389,480/53,308.96
  6. Step 6: Final answer
    x = 42,683.06

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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.