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Finding the Fourth Proportional to 30,974.58, 42,745.02 and 17,548.32

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Solution

The fourth proportional to 30,974.58, 42,745.02 and 17,548.32 is: 24,216.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,974.58 : 42,745.02 = 17,548.32 : x
  2. Step 2: Convert to fraction form
    30,974.58/42,745.02 = 17,548.32/x
  3. Step 3: Cross multiply
    30,974.58x = 42,745.02 × 17,548.32
  4. Step 4: Simplify right side
    30,974.58x = 750,103,289.37
  5. Step 5: Solve for x
    x = 750,103,289.37/30,974.58
  6. Step 6: Final answer
    x = 24,216.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.