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Finding the Fourth Proportional to 51,909.06, 77,814.33 and 16,824.06

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Solution

The fourth proportional to 51,909.06, 77,814.33 and 16,824.06 is: 25,220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,909.06 : 77,814.33 = 16,824.06 : x
  2. Step 2: Convert to fraction form
    51,909.06/77,814.33 = 16,824.06/x
  3. Step 3: Cross multiply
    51,909.06x = 77,814.33 × 16,824.06
  4. Step 4: Simplify right side
    51,909.06x = 1,309,152,956.78
  5. Step 5: Solve for x
    x = 1,309,152,956.78/51,909.06
  6. Step 6: Final answer
    x = 25,220.12

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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.