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Finding the Fourth Proportional to 76,408, 105,446.28 and 42,874

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Solution

The fourth proportional to 76,408, 105,446.28 and 42,874 is: 59,167.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,408 : 105,446.28 = 42,874 : x
  2. Step 2: Convert to fraction form
    76,408/105,446.28 = 42,874/x
  3. Step 3: Cross multiply
    76,408x = 105,446.28 × 42,874
  4. Step 4: Simplify right side
    76,408x = 4,520,903,808.72
  5. Step 5: Solve for x
    x = 4,520,903,808.72/76,408
  6. Step 6: Final answer
    x = 59,167.94

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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.