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Finding the Fourth Proportional to 81,971.51, 112,383.37 and 80,477.06

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Solution

The fourth proportional to 81,971.51, 112,383.37 and 80,477.06 is: 110,334.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,971.51 : 112,383.37 = 80,477.06 : x
  2. Step 2: Convert to fraction form
    81,971.51/112,383.37 = 80,477.06/x
  3. Step 3: Cross multiply
    81,971.51x = 112,383.37 × 80,477.06
  4. Step 4: Simplify right side
    81,971.51x = 9,044,283,210.49
  5. Step 5: Solve for x
    x = 9,044,283,210.49/81,971.51
  6. Step 6: Final answer
    x = 110,334.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.