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Finding the Fourth Proportional to 27,965.22, 42,006.15 and 16,301.22

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Solution

The fourth proportional to 27,965.22, 42,006.15 and 16,301.22 is: 24,485.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,965.22 : 42,006.15 = 16,301.22 : x
  2. Step 2: Convert to fraction form
    27,965.22/42,006.15 = 16,301.22/x
  3. Step 3: Cross multiply
    27,965.22x = 42,006.15 × 16,301.22
  4. Step 4: Simplify right side
    27,965.22x = 684,751,492.50
  5. Step 5: Solve for x
    x = 684,751,492.50/27,965.22
  6. Step 6: Final answer
    x = 24,485.83

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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.