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Finding the Fourth Proportional to 77,464.96, 106,892.87 and 43,466.42

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Solution

The fourth proportional to 77,464.96, 106,892.87 and 43,466.42 is: 59,978.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,464.96 : 106,892.87 = 43,466.42 : x
  2. Step 2: Convert to fraction form
    77,464.96/106,892.87 = 43,466.42/x
  3. Step 3: Cross multiply
    77,464.96x = 106,892.87 × 43,466.42
  4. Step 4: Simplify right side
    77,464.96x = 4,646,250,432.33
  5. Step 5: Solve for x
    x = 4,646,250,432.33/77,464.96
  6. Step 6: Final answer
    x = 59,978.74

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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.