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Finding the Fourth Proportional to 76,209.95, 105,169.77 and 41,754.57

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Solution

The fourth proportional to 76,209.95, 105,169.77 and 41,754.57 is: 57,621.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,209.95 : 105,169.77 = 41,754.57 : x
  2. Step 2: Convert to fraction form
    76,209.95/105,169.77 = 41,754.57/x
  3. Step 3: Cross multiply
    76,209.95x = 105,169.77 × 41,754.57
  4. Step 4: Simplify right side
    76,209.95x = 4,391,318,523.35
  5. Step 5: Solve for x
    x = 4,391,318,523.35/76,209.95
  6. Step 6: Final answer
    x = 57,621.33

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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.