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Finding the Fourth Proportional to 65,806.94, 98,711.17 and 18,419.21

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Solution

The fourth proportional to 65,806.94, 98,711.17 and 18,419.21 is: 27,629.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,806.94 : 98,711.17 = 18,419.21 : x
  2. Step 2: Convert to fraction form
    65,806.94/98,711.17 = 18,419.21/x
  3. Step 3: Cross multiply
    65,806.94x = 98,711.17 × 18,419.21
  4. Step 4: Simplify right side
    65,806.94x = 1,818,181,970.31
  5. Step 5: Solve for x
    x = 1,818,181,970.31/65,806.94
  6. Step 6: Final answer
    x = 27,629.03

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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.