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Finding the Fourth Proportional to 54,659.64, 81,937.62 and 23,475

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Solution

The fourth proportional to 54,659.64, 81,937.62 and 23,475 is: 35,190.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,659.64 : 81,937.62 = 23,475 : x
  2. Step 2: Convert to fraction form
    54,659.64/81,937.62 = 23,475/x
  3. Step 3: Cross multiply
    54,659.64x = 81,937.62 × 23,475
  4. Step 4: Simplify right side
    54,659.64x = 1,923,485,629.50
  5. Step 5: Solve for x
    x = 1,923,485,629.50/54,659.64
  6. Step 6: Final answer
    x = 35,190.24

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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.