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Finding the Fourth Proportional to 35,518.50, 49,016.14 and 22,965.12

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Solution

The fourth proportional to 35,518.50, 49,016.14 and 22,965.12 is: 31,692.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,518.50 : 49,016.14 = 22,965.12 : x
  2. Step 2: Convert to fraction form
    35,518.50/49,016.14 = 22,965.12/x
  3. Step 3: Cross multiply
    35,518.50x = 49,016.14 × 22,965.12
  4. Step 4: Simplify right side
    35,518.50x = 1,125,661,479.62
  5. Step 5: Solve for x
    x = 1,125,661,479.62/35,518.50
  6. Step 6: Final answer
    x = 31,692.26

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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.