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Finding the Fourth Proportional to 84,943.84, 127,435.44 and 28,780.96

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Solution

The fourth proportional to 84,943.84, 127,435.44 and 28,780.96 is: 43,178.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,943.84 : 127,435.44 = 28,780.96 : x
  2. Step 2: Convert to fraction form
    84,943.84/127,435.44 = 28,780.96/x
  3. Step 3: Cross multiply
    84,943.84x = 127,435.44 × 28,780.96
  4. Step 4: Simplify right side
    84,943.84x = 3,667,714,301.22
  5. Step 5: Solve for x
    x = 3,667,714,301.22/84,943.84
  6. Step 6: Final answer
    x = 43,178.11

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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.