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Finding the Fourth Proportional to 58,654.40, 80,947.68 and 33,512

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Solution

The fourth proportional to 58,654.40, 80,947.68 and 33,512 is: 46,249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,654.40 : 80,947.68 = 33,512 : x
  2. Step 2: Convert to fraction form
    58,654.40/80,947.68 = 33,512/x
  3. Step 3: Cross multiply
    58,654.40x = 80,947.68 × 33,512
  4. Step 4: Simplify right side
    58,654.40x = 2,712,718,652.16
  5. Step 5: Solve for x
    x = 2,712,718,652.16/58,654.40
  6. Step 6: Final answer
    x = 46,249.19

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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.