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Finding the Fourth Proportional to 47,832.32, 66,004.47 and 27,690.41

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Solution

The fourth proportional to 47,832.32, 66,004.47 and 27,690.41 is: 38,210.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,832.32 : 66,004.47 = 27,690.41 : x
  2. Step 2: Convert to fraction form
    47,832.32/66,004.47 = 27,690.41/x
  3. Step 3: Cross multiply
    47,832.32x = 66,004.47 × 27,690.41
  4. Step 4: Simplify right side
    47,832.32x = 1,827,690,629.87
  5. Step 5: Solve for x
    x = 1,827,690,629.87/47,832.32
  6. Step 6: Final answer
    x = 38,210.37

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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.