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Finding the Fourth Proportional to 34,017.80, 50,969.10 and 16,449.80

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Solution

The fourth proportional to 34,017.80, 50,969.10 and 16,449.80 is: 24,646.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,017.80 : 50,969.10 = 16,449.80 : x
  2. Step 2: Convert to fraction form
    34,017.80/50,969.10 = 16,449.80/x
  3. Step 3: Cross multiply
    34,017.80x = 50,969.10 × 16,449.80
  4. Step 4: Simplify right side
    34,017.80x = 838,431,501.18
  5. Step 5: Solve for x
    x = 838,431,501.18/34,017.80
  6. Step 6: Final answer
    x = 24,646.85

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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.