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Finding the Fourth Proportional to 50,407.50, 75,611.26 and 13,471.50

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Solution

The fourth proportional to 50,407.50, 75,611.26 and 13,471.50 is: 20,207.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,407.50 : 75,611.26 = 13,471.50 : x
  2. Step 2: Convert to fraction form
    50,407.50/75,611.26 = 13,471.50/x
  3. Step 3: Cross multiply
    50,407.50x = 75,611.26 × 13,471.50
  4. Step 4: Simplify right side
    50,407.50x = 1,018,597,089.09
  5. Step 5: Solve for x
    x = 1,018,597,089.09/50,407.50
  6. Step 6: Final answer
    x = 20,207.25

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Double scale
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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.