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Finding the Fourth Proportional to 107,805.84, 161,760 and 48,659.76

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Solution

The fourth proportional to 107,805.84, 161,760 and 48,659.76 is: 73,012.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,805.84 : 161,760 = 48,659.76 : x
  2. Step 2: Convert to fraction form
    107,805.84/161,760 = 48,659.76/x
  3. Step 3: Cross multiply
    107,805.84x = 161,760 × 48,659.76
  4. Step 4: Simplify right side
    107,805.84x = 7,871,202,777.60
  5. Step 5: Solve for x
    x = 7,871,202,777.60/107,805.84
  6. Step 6: Final answer
    x = 73,012.77

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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.