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Finding the Fourth Proportional to 37,280.49, 51,450.71 and 27,832.65

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Solution

The fourth proportional to 37,280.49, 51,450.71 and 27,832.65 is: 38,411.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,280.49 : 51,450.71 = 27,832.65 : x
  2. Step 2: Convert to fraction form
    37,280.49/51,450.71 = 27,832.65/x
  3. Step 3: Cross multiply
    37,280.49x = 51,450.71 × 27,832.65
  4. Step 4: Simplify right side
    37,280.49x = 1,432,009,464.52
  5. Step 5: Solve for x
    x = 1,432,009,464.52/37,280.49
  6. Step 6: Final answer
    x = 38,411.77

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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.