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Finding the Fourth Proportional to 50,477, 69,659.70 and 28,122.44

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Solution

The fourth proportional to 50,477, 69,659.70 and 28,122.44 is: 38,809.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,477 : 69,659.70 = 28,122.44 : x
  2. Step 2: Convert to fraction form
    50,477/69,659.70 = 28,122.44/x
  3. Step 3: Cross multiply
    50,477x = 69,659.70 × 28,122.44
  4. Step 4: Simplify right side
    50,477x = 1,959,000,733.67
  5. Step 5: Solve for x
    x = 1,959,000,733.67/50,477
  6. Step 6: Final answer
    x = 38,809.77

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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.