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Finding the Fourth Proportional to 81,966.40, 122,933.40 and 39,846.40

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Solution

The fourth proportional to 81,966.40, 122,933.40 and 39,846.40 is: 59,761.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,966.40 : 122,933.40 = 39,846.40 : x
  2. Step 2: Convert to fraction form
    81,966.40/122,933.40 = 39,846.40/x
  3. Step 3: Cross multiply
    81,966.40x = 122,933.40 × 39,846.40
  4. Step 4: Simplify right side
    81,966.40x = 4,898,453,429.76
  5. Step 5: Solve for x
    x = 4,898,453,429.76/81,966.40
  6. Step 6: Final answer
    x = 59,761.72

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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.