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Finding the Fourth Proportional to 47,813.40, 65,977.88 and 27,666.27

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Solution

The fourth proportional to 47,813.40, 65,977.88 and 27,666.27 is: 38,176.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,813.40 : 65,977.88 = 27,666.27 : x
  2. Step 2: Convert to fraction form
    47,813.40/65,977.88 = 27,666.27/x
  3. Step 3: Cross multiply
    47,813.40x = 65,977.88 × 27,666.27
  4. Step 4: Simplify right side
    47,813.40x = 1,825,361,703.78
  5. Step 5: Solve for x
    x = 1,825,361,703.78/47,813.40
  6. Step 6: Final answer
    x = 38,176.78

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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.