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Finding the Fourth Proportional to 81,223.52, 111,880.20 and 57,308.24

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Solution

The fourth proportional to 81,223.52, 111,880.20 and 57,308.24 is: 78,938.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,223.52 : 111,880.20 = 57,308.24 : x
  2. Step 2: Convert to fraction form
    81,223.52/111,880.20 = 57,308.24/x
  3. Step 3: Cross multiply
    81,223.52x = 111,880.20 × 57,308.24
  4. Step 4: Simplify right side
    81,223.52x = 6,411,657,352.85
  5. Step 5: Solve for x
    x = 6,411,657,352.85/81,223.52
  6. Step 6: Final answer
    x = 78,938.43

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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.