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Finding the Fourth Proportional to 76,446.30, 105,499.39 and 42,454.94

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Solution

The fourth proportional to 76,446.30, 105,499.39 and 42,454.94 is: 58,589.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,446.30 : 105,499.39 = 42,454.94 : x
  2. Step 2: Convert to fraction form
    76,446.30/105,499.39 = 42,454.94/x
  3. Step 3: Cross multiply
    76,446.30x = 105,499.39 × 42,454.94
  4. Step 4: Simplify right side
    76,446.30x = 4,478,970,272.49
  5. Step 5: Solve for x
    x = 4,478,970,272.49/76,446.30
  6. Step 6: Final answer
    x = 58,589.76

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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.