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Finding the Fourth Proportional to 76,406.72, 105,442.24 and 42,872

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Solution

The fourth proportional to 76,406.72, 105,442.24 and 42,872 is: 59,163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,406.72 : 105,442.24 = 42,872 : x
  2. Step 2: Convert to fraction form
    76,406.72/105,442.24 = 42,872/x
  3. Step 3: Cross multiply
    76,406.72x = 105,442.24 × 42,872
  4. Step 4: Simplify right side
    76,406.72x = 4,520,519,713.28
  5. Step 5: Solve for x
    x = 4,520,519,713.28/76,406.72
  6. Step 6: Final answer
    x = 59,163.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.