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Finding the Fourth Proportional to 51,901.15, 71,623.59 and 28,027.82

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Solution

The fourth proportional to 51,901.15, 71,623.59 and 28,027.82 is: 38,678.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,901.15 : 71,623.59 = 28,027.82 : x
  2. Step 2: Convert to fraction form
    51,901.15/71,623.59 = 28,027.82/x
  3. Step 3: Cross multiply
    51,901.15x = 71,623.59 × 28,027.82
  4. Step 4: Simplify right side
    51,901.15x = 2,007,453,142.52
  5. Step 5: Solve for x
    x = 2,007,453,142.52/51,901.15
  6. Step 6: Final answer
    x = 38,678.40

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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.