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Finding the Fourth Proportional to 54,551.20, 81,826.80 and 31,223.20

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Solution

The fourth proportional to 54,551.20, 81,826.80 and 31,223.20 is: 46,834.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,551.20 : 81,826.80 = 31,223.20 : x
  2. Step 2: Convert to fraction form
    54,551.20/81,826.80 = 31,223.20/x
  3. Step 3: Cross multiply
    54,551.20x = 81,826.80 × 31,223.20
  4. Step 4: Simplify right side
    54,551.20x = 2,554,894,541.76
  5. Step 5: Solve for x
    x = 2,554,894,541.76/54,551.20
  6. Step 6: Final answer
    x = 46,834.80

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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.