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Finding the Fourth Proportional to 75,459.79, 113,102.19 and 71,085.79

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Solution

The fourth proportional to 75,459.79, 113,102.19 and 71,085.79 is: 106,546.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,459.79 : 113,102.19 = 71,085.79 : x
  2. Step 2: Convert to fraction form
    75,459.79/113,102.19 = 71,085.79/x
  3. Step 3: Cross multiply
    75,459.79x = 113,102.19 × 71,085.79
  4. Step 4: Simplify right side
    75,459.79x = 8,039,958,526.88
  5. Step 5: Solve for x
    x = 8,039,958,526.88/75,459.79
  6. Step 6: Final answer
    x = 106,546.26

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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.