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Finding the Fourth Proportional to 54,908.30, 82,362.45 and 48,784.70

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Solution

The fourth proportional to 54,908.30, 82,362.45 and 48,784.70 is: 73,177.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,908.30 : 82,362.45 = 48,784.70 : x
  2. Step 2: Convert to fraction form
    54,908.30/82,362.45 = 48,784.70/x
  3. Step 3: Cross multiply
    54,908.30x = 82,362.45 × 48,784.70
  4. Step 4: Simplify right side
    54,908.30x = 4,018,027,414.52
  5. Step 5: Solve for x
    x = 4,018,027,414.52/54,908.30
  6. Step 6: Final answer
    x = 73,177.05

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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.