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Finding the Fourth Proportional to 65,464.97, 98,203.16 and 18,080.13

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Solution

The fourth proportional to 65,464.97, 98,203.16 and 18,080.13 is: 27,121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,464.97 : 98,203.16 = 18,080.13 : x
  2. Step 2: Convert to fraction form
    65,464.97/98,203.16 = 18,080.13/x
  3. Step 3: Cross multiply
    65,464.97x = 98,203.16 × 18,080.13
  4. Step 4: Simplify right side
    65,464.97x = 1,775,525,808.81
  5. Step 5: Solve for x
    x = 1,775,525,808.81/65,464.97
  6. Step 6: Final answer
    x = 27,121.77

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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.