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Finding the Fourth Proportional to 77,848.67, 107,431.50 and 43,857.57

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Solution

The fourth proportional to 77,848.67, 107,431.50 and 43,857.57 is: 60,523.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,848.67 : 107,431.50 = 43,857.57 : x
  2. Step 2: Convert to fraction form
    77,848.67/107,431.50 = 43,857.57/x
  3. Step 3: Cross multiply
    77,848.67x = 107,431.50 × 43,857.57
  4. Step 4: Simplify right side
    77,848.67x = 4,711,683,884.65
  5. Step 5: Solve for x
    x = 4,711,683,884.65/77,848.67
  6. Step 6: Final answer
    x = 60,523.63

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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.