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Finding the Fourth Proportional to 54,448.64, 81,655.68 and 17,504

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Solution

The fourth proportional to 54,448.64, 81,655.68 and 17,504 is: 26,250.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,448.64 : 81,655.68 = 17,504 : x
  2. Step 2: Convert to fraction form
    54,448.64/81,655.68 = 17,504/x
  3. Step 3: Cross multiply
    54,448.64x = 81,655.68 × 17,504
  4. Step 4: Simplify right side
    54,448.64x = 1,429,301,022.72
  5. Step 5: Solve for x
    x = 1,429,301,022.72/54,448.64
  6. Step 6: Final answer
    x = 26,250.44

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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.