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Finding the Fourth Proportional to 74,516.50, 102,831.34 and 40,982.50

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Solution

The fourth proportional to 74,516.50, 102,831.34 and 40,982.50 is: 56,555.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,516.50 : 102,831.34 = 40,982.50 : x
  2. Step 2: Convert to fraction form
    74,516.50/102,831.34 = 40,982.50/x
  3. Step 3: Cross multiply
    74,516.50x = 102,831.34 × 40,982.50
  4. Step 4: Simplify right side
    74,516.50x = 4,214,285,391.55
  5. Step 5: Solve for x
    x = 4,214,285,391.55/74,516.50
  6. Step 6: Final answer
    x = 56,555.06

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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.