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Finding the Fourth Proportional to 30,811.44, 42,514.95 and 17,382.44

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Solution

The fourth proportional to 30,811.44, 42,514.95 and 17,382.44 is: 23,985.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,811.44 : 42,514.95 = 17,382.44 : x
  2. Step 2: Convert to fraction form
    30,811.44/42,514.95 = 17,382.44/x
  3. Step 3: Cross multiply
    30,811.44x = 42,514.95 × 17,382.44
  4. Step 4: Simplify right side
    30,811.44x = 739,013,354.90
  5. Step 5: Solve for x
    x = 739,013,354.90/30,811.44
  6. Step 6: Final answer
    x = 23,985.03

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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.