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Finding the Fourth Proportional to 47,407.94, 65,424.86 and 27,264.81

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Solution

The fourth proportional to 47,407.94, 65,424.86 and 27,264.81 is: 37,626.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,407.94 : 65,424.86 = 27,264.81 : x
  2. Step 2: Convert to fraction form
    47,407.94/65,424.86 = 27,264.81/x
  3. Step 3: Cross multiply
    47,407.94x = 65,424.86 × 27,264.81
  4. Step 4: Simplify right side
    47,407.94x = 1,783,796,588.44
  5. Step 5: Solve for x
    x = 1,783,796,588.44/47,407.94
  6. Step 6: Final answer
    x = 37,626.54

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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.