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Finding the Fourth Proportional to 54,833.53, 82,237.98 and 25,222.90

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Solution

The fourth proportional to 54,833.53, 82,237.98 and 25,222.90 is: 37,828.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,833.53 : 82,237.98 = 25,222.90 : x
  2. Step 2: Convert to fraction form
    54,833.53/82,237.98 = 25,222.90/x
  3. Step 3: Cross multiply
    54,833.53x = 82,237.98 × 25,222.90
  4. Step 4: Simplify right side
    54,833.53x = 2,074,280,345.74
  5. Step 5: Solve for x
    x = 2,074,280,345.74/54,833.53
  6. Step 6: Final answer
    x = 37,828.69

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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.