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Finding the Fourth Proportional to 54,952.95, 82,428.52 and 17,512.51

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Solution

The fourth proportional to 54,952.95, 82,428.52 and 17,512.51 is: 26,268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,952.95 : 82,428.52 = 17,512.51 : x
  2. Step 2: Convert to fraction form
    54,952.95/82,428.52 = 17,512.51/x
  3. Step 3: Cross multiply
    54,952.95x = 82,428.52 × 17,512.51
  4. Step 4: Simplify right side
    54,952.95x = 1,443,530,280.79
  5. Step 5: Solve for x
    x = 1,443,530,280.79/54,952.95
  6. Step 6: Final answer
    x = 26,268.48

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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.