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Finding the Fourth Proportional to 47,710.29, 65,835.31 and 27,573.69

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Solution

The fourth proportional to 47,710.29, 65,835.31 and 27,573.69 is: 38,048.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,710.29 : 65,835.31 = 27,573.69 : x
  2. Step 2: Convert to fraction form
    47,710.29/65,835.31 = 27,573.69/x
  3. Step 3: Cross multiply
    47,710.29x = 65,835.31 × 27,573.69
  4. Step 4: Simplify right side
    47,710.29x = 1,815,322,428.99
  5. Step 5: Solve for x
    x = 1,815,322,428.99/47,710.29
  6. Step 6: Final answer
    x = 38,048.87

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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.