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Finding the Fourth Proportional to 185,047.91, 277,589.21 and 51,927.56

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Solution

The fourth proportional to 185,047.91, 277,589.21 and 51,927.56 is: 77,896.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,047.91 : 277,589.21 = 51,927.56 : x
  2. Step 2: Convert to fraction form
    185,047.91/277,589.21 = 51,927.56/x
  3. Step 3: Cross multiply
    185,047.91x = 277,589.21 × 51,927.56
  4. Step 4: Simplify right side
    185,047.91x = 14,414,528,710.04
  5. Step 5: Solve for x
    x = 14,414,528,710.04/185,047.91
  6. Step 6: Final answer
    x = 77,896.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.