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Finding the Fourth Proportional to 47,804.86, 65,959.83 and 27,661.24

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Solution

The fourth proportional to 47,804.86, 65,959.83 and 27,661.24 is: 38,166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,804.86 : 65,959.83 = 27,661.24 : x
  2. Step 2: Convert to fraction form
    47,804.86/65,959.83 = 27,661.24/x
  3. Step 3: Cross multiply
    47,804.86x = 65,959.83 × 27,661.24
  4. Step 4: Simplify right side
    47,804.86x = 1,824,530,687.99
  5. Step 5: Solve for x
    x = 1,824,530,687.99/47,804.86
  6. Step 6: Final answer
    x = 38,166.22

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1.5x scale

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.