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Finding the Fourth Proportional to 47,205.90, 65,146 and 25,987.14

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Solution

The fourth proportional to 47,205.90, 65,146 and 25,987.14 is: 35,863.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,205.90 : 65,146 = 25,987.14 : x
  2. Step 2: Convert to fraction form
    47,205.90/65,146 = 25,987.14/x
  3. Step 3: Cross multiply
    47,205.90x = 65,146 × 25,987.14
  4. Step 4: Simplify right side
    47,205.90x = 1,692,958,222.44
  5. Step 5: Solve for x
    x = 1,692,958,222.44/47,205.90
  6. Step 6: Final answer
    x = 35,863.28

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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.