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Finding the Fourth Proportional to 47,813.23, 65,978.19 and 27,671.36

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Solution

The fourth proportional to 47,813.23, 65,978.19 and 27,671.36 is: 38,184.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,813.23 : 65,978.19 = 27,671.36 : x
  2. Step 2: Convert to fraction form
    47,813.23/65,978.19 = 27,671.36/x
  3. Step 3: Cross multiply
    47,813.23x = 65,978.19 × 27,671.36
  4. Step 4: Simplify right side
    47,813.23x = 1,825,705,779.39
  5. Step 5: Solve for x
    x = 1,825,705,779.39/47,813.23
  6. Step 6: Final answer
    x = 38,184.12

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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.