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Finding the Fourth Proportional to 65,338.13, 98,023.59 and 18,591

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Solution

The fourth proportional to 65,338.13, 98,023.59 and 18,591 is: 27,891.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,338.13 : 98,023.59 = 18,591 : x
  2. Step 2: Convert to fraction form
    65,338.13/98,023.59 = 18,591/x
  3. Step 3: Cross multiply
    65,338.13x = 98,023.59 × 18,591
  4. Step 4: Simplify right side
    65,338.13x = 1,822,356,561.69
  5. Step 5: Solve for x
    x = 1,822,356,561.69/65,338.13
  6. Step 6: Final answer
    x = 27,891.17

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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.