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Finding the Fourth Proportional to 47,807.28, 65,972.88 and 27,661.37

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Solution

The fourth proportional to 47,807.28, 65,972.88 and 27,661.37 is: 38,172.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,807.28 : 65,972.88 = 27,661.37 : x
  2. Step 2: Convert to fraction form
    47,807.28/65,972.88 = 27,661.37/x
  3. Step 3: Cross multiply
    47,807.28x = 65,972.88 × 27,661.37
  4. Step 4: Simplify right side
    47,807.28x = 1,824,899,913.78
  5. Step 5: Solve for x
    x = 1,824,899,913.78/47,807.28
  6. Step 6: Final answer
    x = 38,172.01

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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.