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Finding the Fourth Proportional to 54,874.76, 82,303.55 and 17,429.90

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Solution

The fourth proportional to 54,874.76, 82,303.55 and 17,429.90 is: 26,142.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,874.76 : 82,303.55 = 17,429.90 : x
  2. Step 2: Convert to fraction form
    54,874.76/82,303.55 = 17,429.90/x
  3. Step 3: Cross multiply
    54,874.76x = 82,303.55 × 17,429.90
  4. Step 4: Simplify right side
    54,874.76x = 1,434,542,895.48
  5. Step 5: Solve for x
    x = 1,434,542,895.48/54,874.76
  6. Step 6: Final answer
    x = 26,142.13

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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.