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Finding the Fourth Proportional to 34,177.80, 51,209.10 and 16,609.80

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Solution

The fourth proportional to 34,177.80, 51,209.10 and 16,609.80 is: 24,886.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,177.80 : 51,209.10 = 16,609.80 : x
  2. Step 2: Convert to fraction form
    34,177.80/51,209.10 = 16,609.80/x
  3. Step 3: Cross multiply
    34,177.80x = 51,209.10 × 16,609.80
  4. Step 4: Simplify right side
    34,177.80x = 850,572,909.18
  5. Step 5: Solve for x
    x = 850,572,909.18/34,177.80
  6. Step 6: Final answer
    x = 24,886.71

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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.