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Finding the Fourth Proportional to 77,419.44, 106,832.70 and 43,423.38

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Solution

The fourth proportional to 77,419.44, 106,832.70 and 43,423.38 is: 59,920.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,419.44 : 106,832.70 = 43,423.38 : x
  2. Step 2: Convert to fraction form
    77,419.44/106,832.70 = 43,423.38/x
  3. Step 3: Cross multiply
    77,419.44x = 106,832.70 × 43,423.38
  4. Step 4: Simplify right side
    77,419.44x = 4,639,036,928.53
  5. Step 5: Solve for x
    x = 4,639,036,928.53/77,419.44
  6. Step 6: Final answer
    x = 59,920.83

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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.