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Finding the Fourth Proportional to 55,649.71, 76,782.83 and 32,994.01

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Solution

The fourth proportional to 55,649.71, 76,782.83 and 32,994.01 is: 45,523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,649.71 : 76,782.83 = 32,994.01 : x
  2. Step 2: Convert to fraction form
    55,649.71/76,782.83 = 32,994.01/x
  3. Step 3: Cross multiply
    55,649.71x = 76,782.83 × 32,994.01
  4. Step 4: Simplify right side
    55,649.71x = 2,533,373,295.88
  5. Step 5: Solve for x
    x = 2,533,373,295.88/55,649.71
  6. Step 6: Final answer
    x = 45,523.57

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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.