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Finding the Fourth Proportional to 77,873.82, 107,464.58 and 43,885.78

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Solution

The fourth proportional to 77,873.82, 107,464.58 and 43,885.78 is: 60,561.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,873.82 : 107,464.58 = 43,885.78 : x
  2. Step 2: Convert to fraction form
    77,873.82/107,464.58 = 43,885.78/x
  3. Step 3: Cross multiply
    77,873.82x = 107,464.58 × 43,885.78
  4. Step 4: Simplify right side
    77,873.82x = 4,716,166,915.67
  5. Step 5: Solve for x
    x = 4,716,166,915.67/77,873.82
  6. Step 6: Final answer
    x = 60,561.65

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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.