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Finding the Fourth Proportional to 47,726.70, 65,859.00 and 27,584.88

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Solution

The fourth proportional to 47,726.70, 65,859.00 and 27,584.88 is: 38,064.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,726.70 : 65,859.00 = 27,584.88 : x
  2. Step 2: Convert to fraction form
    47,726.70/65,859.00 = 27,584.88/x
  3. Step 3: Cross multiply
    47,726.70x = 65,859.00 × 27,584.88
  4. Step 4: Simplify right side
    47,726.70x = 1,816,712,474.00
  5. Step 5: Solve for x
    x = 1,816,712,474.00/47,726.70
  6. Step 6: Final answer
    x = 38,064.91

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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.