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Finding the Fourth Proportional to 47,238.40, 65,193.62 and 35,281

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Solution

The fourth proportional to 47,238.40, 65,193.62 and 35,281 is: 48,691.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,238.40 : 65,193.62 = 35,281 : x
  2. Step 2: Convert to fraction form
    47,238.40/65,193.62 = 35,281/x
  3. Step 3: Cross multiply
    47,238.40x = 65,193.62 × 35,281
  4. Step 4: Simplify right side
    47,238.40x = 2,300,096,107.22
  5. Step 5: Solve for x
    x = 2,300,096,107.22/47,238.40
  6. Step 6: Final answer
    x = 48,691.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.