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Finding the Fourth Proportional to 65,338.80, 98,011.92 and 18,588

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Solution

The fourth proportional to 65,338.80, 98,011.92 and 18,588 is: 27,883.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,338.80 : 98,011.92 = 18,588 : x
  2. Step 2: Convert to fraction form
    65,338.80/98,011.92 = 18,588/x
  3. Step 3: Cross multiply
    65,338.80x = 98,011.92 × 18,588
  4. Step 4: Simplify right side
    65,338.80x = 1,821,845,568.96
  5. Step 5: Solve for x
    x = 1,821,845,568.96/65,338.80
  6. Step 6: Final answer
    x = 27,883.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.