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Finding the Fourth Proportional to 74,143.72, 102,318.42 and 40,609

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Solution

The fourth proportional to 74,143.72, 102,318.42 and 40,609 is: 56,040.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,143.72 : 102,318.42 = 40,609 : x
  2. Step 2: Convert to fraction form
    74,143.72/102,318.42 = 40,609/x
  3. Step 3: Cross multiply
    74,143.72x = 102,318.42 × 40,609
  4. Step 4: Simplify right side
    74,143.72x = 4,155,048,717.78
  5. Step 5: Solve for x
    x = 4,155,048,717.78/74,143.72
  6. Step 6: Final answer
    x = 56,040.47

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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.