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Finding the Fourth Proportional to 107,655, 161,482.56 and 51,481.84

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Solution

The fourth proportional to 107,655, 161,482.56 and 51,481.84 is: 77,222.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,655 : 161,482.56 = 51,481.84 : x
  2. Step 2: Convert to fraction form
    107,655/161,482.56 = 51,481.84/x
  3. Step 3: Cross multiply
    107,655x = 161,482.56 × 51,481.84
  4. Step 4: Simplify right side
    107,655x = 8,313,419,316.71
  5. Step 5: Solve for x
    x = 8,313,419,316.71/107,655
  6. Step 6: Final answer
    x = 77,222.79

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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.