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Finding the Fourth Proportional to 106,796.84, 147,373.75 and 59,047.03

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Solution

The fourth proportional to 106,796.84, 147,373.75 and 59,047.03 is: 81,481.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,796.84 : 147,373.75 = 59,047.03 : x
  2. Step 2: Convert to fraction form
    106,796.84/147,373.75 = 59,047.03/x
  3. Step 3: Cross multiply
    106,796.84x = 147,373.75 × 59,047.03
  4. Step 4: Simplify right side
    106,796.84x = 8,701,982,163.35
  5. Step 5: Solve for x
    x = 8,701,982,163.35/106,796.84
  6. Step 6: Final answer
    x = 81,481.65

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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.