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Finding the Fourth Proportional to 54,858.97, 82,291.52 and 15,413

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Solution

The fourth proportional to 54,858.97, 82,291.52 and 15,413 is: 23,120.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,858.97 : 82,291.52 = 15,413 : x
  2. Step 2: Convert to fraction form
    54,858.97/82,291.52 = 15,413/x
  3. Step 3: Cross multiply
    54,858.97x = 82,291.52 × 15,413
  4. Step 4: Simplify right side
    54,858.97x = 1,268,359,197.76
  5. Step 5: Solve for x
    x = 1,268,359,197.76/54,858.97
  6. Step 6: Final answer
    x = 23,120.36

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1.5x scale

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.