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Finding the Fourth Proportional to 81,405.70, 122,108.55 and 57,786.10

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Solution

The fourth proportional to 81,405.70, 122,108.55 and 57,786.10 is: 86,679.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,405.70 : 122,108.55 = 57,786.10 : x
  2. Step 2: Convert to fraction form
    81,405.70/122,108.55 = 57,786.10/x
  3. Step 3: Cross multiply
    81,405.70x = 122,108.55 × 57,786.10
  4. Step 4: Simplify right side
    81,405.70x = 7,056,176,881.16
  5. Step 5: Solve for x
    x = 7,056,176,881.16/81,405.70
  6. Step 6: Final answer
    x = 86,679.15

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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.