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Finding the Fourth Proportional to 50,419.95, 75,531.51 and 30,649.47

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Solution

The fourth proportional to 50,419.95, 75,531.51 and 30,649.47 is: 45,914.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,419.95 : 75,531.51 = 30,649.47 : x
  2. Step 2: Convert to fraction form
    50,419.95/75,531.51 = 30,649.47/x
  3. Step 3: Cross multiply
    50,419.95x = 75,531.51 × 30,649.47
  4. Step 4: Simplify right side
    50,419.95x = 2,315,000,749.80
  5. Step 5: Solve for x
    x = 2,315,000,749.80/50,419.95
  6. Step 6: Final answer
    x = 45,914.38

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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.