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Finding the Fourth Proportional to 81,602.40, 122,306.40 and 34,217.40

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Solution

The fourth proportional to 81,602.40, 122,306.40 and 34,217.40 is: 51,285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,602.40 : 122,306.40 = 34,217.40 : x
  2. Step 2: Convert to fraction form
    81,602.40/122,306.40 = 34,217.40/x
  3. Step 3: Cross multiply
    81,602.40x = 122,306.40 × 34,217.40
  4. Step 4: Simplify right side
    81,602.40x = 4,185,007,011.36
  5. Step 5: Solve for x
    x = 4,185,007,011.36/81,602.40
  6. Step 6: Final answer
    x = 51,285.34

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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.