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Finding the Fourth Proportional to 49,203.20, 73,828.80 and 22,894.40

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Solution

The fourth proportional to 49,203.20, 73,828.80 and 22,894.40 is: 34,352.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,203.20 : 73,828.80 = 22,894.40 : x
  2. Step 2: Convert to fraction form
    49,203.20/73,828.80 = 22,894.40/x
  3. Step 3: Cross multiply
    49,203.20x = 73,828.80 × 22,894.40
  4. Step 4: Simplify right side
    49,203.20x = 1,690,266,078.72
  5. Step 5: Solve for x
    x = 1,690,266,078.72/49,203.20
  6. Step 6: Final answer
    x = 34,352.77

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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.