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Finding the Fourth Proportional to 35,847, 53,770.56 and 13,959

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Solution

The fourth proportional to 35,847, 53,770.56 and 13,959 is: 20,938.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,847 : 53,770.56 = 13,959 : x
  2. Step 2: Convert to fraction form
    35,847/53,770.56 = 13,959/x
  3. Step 3: Cross multiply
    35,847x = 53,770.56 × 13,959
  4. Step 4: Simplify right side
    35,847x = 750,583,247.04
  5. Step 5: Solve for x
    x = 750,583,247.04/35,847
  6. Step 6: Final answer
    x = 20,938.52

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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.