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Finding the Fourth Proportional to 81,857.40, 122,714.10 and 55,476.60

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Solution

The fourth proportional to 81,857.40, 122,714.10 and 55,476.60 is: 83,166.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,857.40 : 122,714.10 = 55,476.60 : x
  2. Step 2: Convert to fraction form
    81,857.40/122,714.10 = 55,476.60/x
  3. Step 3: Cross multiply
    81,857.40x = 122,714.10 × 55,476.60
  4. Step 4: Simplify right side
    81,857.40x = 6,807,761,040.06
  5. Step 5: Solve for x
    x = 6,807,761,040.06/81,857.40
  6. Step 6: Final answer
    x = 83,166.10

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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.