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Finding the Fourth Proportional to 47,696.00, 65,814.80 and 27,548.87

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Solution

The fourth proportional to 47,696.00, 65,814.80 and 27,548.87 is: 38,014.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,696.00 : 65,814.80 = 27,548.87 : x
  2. Step 2: Convert to fraction form
    47,696.00/65,814.80 = 27,548.87/x
  3. Step 3: Cross multiply
    47,696.00x = 65,814.80 × 27,548.87
  4. Step 4: Simplify right side
    47,696.00x = 1,813,122,902.46
  5. Step 5: Solve for x
    x = 1,813,122,902.46/47,696.00
  6. Step 6: Final answer
    x = 38,014.15

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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.