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Finding the Fourth Proportional to 51,602.56, 77,398.80 and 16,532.80

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Solution

The fourth proportional to 51,602.56, 77,398.80 and 16,532.80 is: 24,797.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,602.56 : 77,398.80 = 16,532.80 : x
  2. Step 2: Convert to fraction form
    51,602.56/77,398.80 = 16,532.80/x
  3. Step 3: Cross multiply
    51,602.56x = 77,398.80 × 16,532.80
  4. Step 4: Simplify right side
    51,602.56x = 1,279,618,880.64
  5. Step 5: Solve for x
    x = 1,279,618,880.64/51,602.56
  6. Step 6: Final answer
    x = 24,797.59

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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.