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Finding the Fourth Proportional to 35,116.26, 48,465 and 20,014.38

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Solution

The fourth proportional to 35,116.26, 48,465 and 20,014.38 is: 27,622.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,116.26 : 48,465 = 20,014.38 : x
  2. Step 2: Convert to fraction form
    35,116.26/48,465 = 20,014.38/x
  3. Step 3: Cross multiply
    35,116.26x = 48,465 × 20,014.38
  4. Step 4: Simplify right side
    35,116.26x = 969,996,926.70
  5. Step 5: Solve for x
    x = 969,996,926.70/35,116.26
  6. Step 6: Final answer
    x = 27,622.44

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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.