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Finding the Fourth Proportional to 72,946.89, 100,665.32 and 41,115.15

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Solution

The fourth proportional to 72,946.89, 100,665.32 and 41,115.15 is: 56,738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,946.89 : 100,665.32 = 41,115.15 : x
  2. Step 2: Convert to fraction form
    72,946.89/100,665.32 = 41,115.15/x
  3. Step 3: Cross multiply
    72,946.89x = 100,665.32 × 41,115.15
  4. Step 4: Simplify right side
    72,946.89x = 4,138,869,526.02
  5. Step 5: Solve for x
    x = 4,138,869,526.02/72,946.89
  6. Step 6: Final answer
    x = 56,738.12

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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.