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Finding the Fourth Proportional to 92,840.84, 128,023.38 and 55,107.80

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Solution

The fourth proportional to 92,840.84, 128,023.38 and 55,107.80 is: 75,991.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,840.84 : 128,023.38 = 55,107.80 : x
  2. Step 2: Convert to fraction form
    92,840.84/128,023.38 = 55,107.80/x
  3. Step 3: Cross multiply
    92,840.84x = 128,023.38 × 55,107.80
  4. Step 4: Simplify right side
    92,840.84x = 7,055,086,820.36
  5. Step 5: Solve for x
    x = 7,055,086,820.36/92,840.84
  6. Step 6: Final answer
    x = 75,991.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.