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Finding the Fourth Proportional to 73,709.86, 110,580.54 and 23,792.80

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Solution

The fourth proportional to 73,709.86, 110,580.54 and 23,792.80 is: 35,694.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,709.86 : 110,580.54 = 23,792.80 : x
  2. Step 2: Convert to fraction form
    73,709.86/110,580.54 = 23,792.80/x
  3. Step 3: Cross multiply
    73,709.86x = 110,580.54 × 23,792.80
  4. Step 4: Simplify right side
    73,709.86x = 2,631,020,672.11
  5. Step 5: Solve for x
    x = 2,631,020,672.11/73,709.86
  6. Step 6: Final answer
    x = 35,694.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.