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Finding the Fourth Proportional to 74,147, 102,323.22 and 40,613

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Solution

The fourth proportional to 74,147, 102,323.22 and 40,613 is: 56,046.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,147 : 102,323.22 = 40,613 : x
  2. Step 2: Convert to fraction form
    74,147/102,323.22 = 40,613/x
  3. Step 3: Cross multiply
    74,147x = 102,323.22 × 40,613
  4. Step 4: Simplify right side
    74,147x = 4,155,652,933.86
  5. Step 5: Solve for x
    x = 4,155,652,933.86/74,147
  6. Step 6: Final answer
    x = 56,046.14

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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.