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Finding the Fourth Proportional to 74,089.92, 102,244.33 and 40,098.41

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Solution

The fourth proportional to 74,089.92, 102,244.33 and 40,098.41 is: 55,335.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,089.92 : 102,244.33 = 40,098.41 : x
  2. Step 2: Convert to fraction form
    74,089.92/102,244.33 = 40,098.41/x
  3. Step 3: Cross multiply
    74,089.92x = 102,244.33 × 40,098.41
  4. Step 4: Simplify right side
    74,089.92x = 4,099,834,986.83
  5. Step 5: Solve for x
    x = 4,099,834,986.83/74,089.92
  6. Step 6: Final answer
    x = 55,335.93

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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.