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Finding the Fourth Proportional to 50,492.70, 75,739.05 and 15,427.80

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Solution

The fourth proportional to 50,492.70, 75,739.05 and 15,427.80 is: 23,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,492.70 : 75,739.05 = 15,427.80 : x
  2. Step 2: Convert to fraction form
    50,492.70/75,739.05 = 15,427.80/x
  3. Step 3: Cross multiply
    50,492.70x = 75,739.05 × 15,427.80
  4. Step 4: Simplify right side
    50,492.70x = 1,168,486,915.59
  5. Step 5: Solve for x
    x = 1,168,486,915.59/50,492.70
  6. Step 6: Final answer
    x = 23,141.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.