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Finding the Fourth Proportional to 35,200, 48,564.04 and 20,081.80

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Solution

The fourth proportional to 35,200, 48,564.04 and 20,081.80 is: 27,706.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,200 : 48,564.04 = 20,081.80 : x
  2. Step 2: Convert to fraction form
    35,200/48,564.04 = 20,081.80/x
  3. Step 3: Cross multiply
    35,200x = 48,564.04 × 20,081.80
  4. Step 4: Simplify right side
    35,200x = 975,253,338.47
  5. Step 5: Solve for x
    x = 975,253,338.47/35,200
  6. Step 6: Final answer
    x = 27,706.06

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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.