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Finding the Fourth Proportional to 47,609.37, 65,698.39 and 27,465.06

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Solution

The fourth proportional to 47,609.37, 65,698.39 and 27,465.06 is: 37,900.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,609.37 : 65,698.39 = 27,465.06 : x
  2. Step 2: Convert to fraction form
    47,609.37/65,698.39 = 27,465.06/x
  3. Step 3: Cross multiply
    47,609.37x = 65,698.39 × 27,465.06
  4. Step 4: Simplify right side
    47,609.37x = 1,804,410,223.25
  5. Step 5: Solve for x
    x = 1,804,410,223.25/47,609.37
  6. Step 6: Final answer
    x = 37,900.32

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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.