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Finding the Fourth Proportional to 47,810.92, 65,975.16 and 27,669.28

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Solution

The fourth proportional to 47,810.92, 65,975.16 and 27,669.28 is: 38,181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,810.92 : 65,975.16 = 27,669.28 : x
  2. Step 2: Convert to fraction form
    47,810.92/65,975.16 = 27,669.28/x
  3. Step 3: Cross multiply
    47,810.92x = 65,975.16 × 27,669.28
  4. Step 4: Simplify right side
    47,810.92x = 1,825,485,175.08
  5. Step 5: Solve for x
    x = 1,825,485,175.08/47,810.92
  6. Step 6: Final answer
    x = 38,181.34

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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.