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Finding the Fourth Proportional to 35,930.90, 49,583.66 and 20,014.40

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Solution

The fourth proportional to 35,930.90, 49,583.66 and 20,014.40 is: 27,619.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,930.90 : 49,583.66 = 20,014.40 : x
  2. Step 2: Convert to fraction form
    35,930.90/49,583.66 = 20,014.40/x
  3. Step 3: Cross multiply
    35,930.90x = 49,583.66 × 20,014.40
  4. Step 4: Simplify right side
    35,930.90x = 992,387,204.70
  5. Step 5: Solve for x
    x = 992,387,204.70/35,930.90
  6. Step 6: Final answer
    x = 27,619.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.