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Finding the Fourth Proportional to 72,022.80, 107,839.80 and 56,470.80

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Solution

The fourth proportional to 72,022.80, 107,839.80 and 56,470.80 is: 84,553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,022.80 : 107,839.80 = 56,470.80 : x
  2. Step 2: Convert to fraction form
    72,022.80/107,839.80 = 56,470.80/x
  3. Step 3: Cross multiply
    72,022.80x = 107,839.80 × 56,470.80
  4. Step 4: Simplify right side
    72,022.80x = 6,089,799,777.84
  5. Step 5: Solve for x
    x = 6,089,799,777.84/72,022.80
  6. Step 6: Final answer
    x = 84,553.78

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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.