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Finding the Fourth Proportional to 47,696.34, 65,823.94 and 27,556.92

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Solution

The fourth proportional to 47,696.34, 65,823.94 and 27,556.92 is: 38,030.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,696.34 : 65,823.94 = 27,556.92 : x
  2. Step 2: Convert to fraction form
    47,696.34/65,823.94 = 27,556.92/x
  3. Step 3: Cross multiply
    47,696.34x = 65,823.94 × 27,556.92
  4. Step 4: Simplify right side
    47,696.34x = 1,813,905,048.66
  5. Step 5: Solve for x
    x = 1,813,905,048.66/47,696.34
  6. Step 6: Final answer
    x = 38,030.28

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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.