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Finding the Fourth Proportional to 47,804.36, 65,959.14 and 27,660.74

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Solution

The fourth proportional to 47,804.36, 65,959.14 and 27,660.74 is: 38,165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,804.36 : 65,959.14 = 27,660.74 : x
  2. Step 2: Convert to fraction form
    47,804.36/65,959.14 = 27,660.74/x
  3. Step 3: Cross multiply
    47,804.36x = 65,959.14 × 27,660.74
  4. Step 4: Simplify right side
    47,804.36x = 1,824,478,622.16
  5. Step 5: Solve for x
    x = 1,824,478,622.16/47,804.36
  6. Step 6: Final answer
    x = 38,165.53

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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.