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Finding the Fourth Proportional to 52,593.80, 78,803.22 and 36,978.68

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Solution

The fourth proportional to 52,593.80, 78,803.22 and 36,978.68 is: 55,406.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,593.80 : 78,803.22 = 36,978.68 : x
  2. Step 2: Convert to fraction form
    52,593.80/78,803.22 = 36,978.68/x
  3. Step 3: Cross multiply
    52,593.80x = 78,803.22 × 36,978.68
  4. Step 4: Simplify right side
    52,593.80x = 2,914,039,055.35
  5. Step 5: Solve for x
    x = 2,914,039,055.35/52,593.80
  6. Step 6: Final answer
    x = 55,406.51

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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.