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Finding the Fourth Proportional to 81,196.80, 121,730.40 and 34,411.20

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Solution

The fourth proportional to 81,196.80, 121,730.40 and 34,411.20 is: 51,589.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,196.80 : 121,730.40 = 34,411.20 : x
  2. Step 2: Convert to fraction form
    81,196.80/121,730.40 = 34,411.20/x
  3. Step 3: Cross multiply
    81,196.80x = 121,730.40 × 34,411.20
  4. Step 4: Simplify right side
    81,196.80x = 4,188,889,140.48
  5. Step 5: Solve for x
    x = 4,188,889,140.48/81,196.80
  6. Step 6: Final answer
    x = 51,589.34

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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.