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Finding the Fourth Proportional to 74,099.38, 102,257.14 and 40,565.38

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Solution

The fourth proportional to 74,099.38, 102,257.14 and 40,565.38 is: 55,980.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,099.38 : 102,257.14 = 40,565.38 : x
  2. Step 2: Convert to fraction form
    74,099.38/102,257.14 = 40,565.38/x
  3. Step 3: Cross multiply
    74,099.38x = 102,257.14 × 40,565.38
  4. Step 4: Simplify right side
    74,099.38x = 4,148,099,331.94
  5. Step 5: Solve for x
    x = 4,148,099,331.94/74,099.38
  6. Step 6: Final answer
    x = 55,980.22

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Why These Related Problems?

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