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Finding the Fourth Proportional to 47,205.72, 65,155 and 27,062.24

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Solution

The fourth proportional to 47,205.72, 65,155 and 27,062.24 is: 37,352.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,205.72 : 65,155 = 27,062.24 : x
  2. Step 2: Convert to fraction form
    47,205.72/65,155 = 27,062.24/x
  3. Step 3: Cross multiply
    47,205.72x = 65,155 × 27,062.24
  4. Step 4: Simplify right side
    47,205.72x = 1,763,240,247.20
  5. Step 5: Solve for x
    x = 1,763,240,247.20/47,205.72
  6. Step 6: Final answer
    x = 37,352.26

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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.