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Finding the Fourth Proportional to 47,671.30, 65,855.01 and 38,098.91

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Solution

The fourth proportional to 47,671.30, 65,855.01 and 38,098.91 is: 52,631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,671.30 : 65,855.01 = 38,098.91 : x
  2. Step 2: Convert to fraction form
    47,671.30/65,855.01 = 38,098.91/x
  3. Step 3: Cross multiply
    47,671.30x = 65,855.01 × 38,098.91
  4. Step 4: Simplify right side
    47,671.30x = 2,509,003,982.54
  5. Step 5: Solve for x
    x = 2,509,003,982.54/47,671.30
  6. Step 6: Final answer
    x = 52,631.33

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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.