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Finding the Fourth Proportional to 47,340.75, 65,332.32 and 27,203.94

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Solution

The fourth proportional to 47,340.75, 65,332.32 and 27,203.94 is: 37,542.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,340.75 : 65,332.32 = 27,203.94 : x
  2. Step 2: Convert to fraction form
    47,340.75/65,332.32 = 27,203.94/x
  3. Step 3: Cross multiply
    47,340.75x = 65,332.32 × 27,203.94
  4. Step 4: Simplify right side
    47,340.75x = 1,777,296,513.34
  5. Step 5: Solve for x
    x = 1,777,296,513.34/47,340.75
  6. Step 6: Final answer
    x = 37,542.64

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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.