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Finding the Fourth Proportional to 55,761, 83,649.30 and 16,320.96

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Solution

The fourth proportional to 55,761, 83,649.30 and 16,320.96 is: 24,483.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,761 : 83,649.30 = 16,320.96 : x
  2. Step 2: Convert to fraction form
    55,761/83,649.30 = 16,320.96/x
  3. Step 3: Cross multiply
    55,761x = 83,649.30 × 16,320.96
  4. Step 4: Simplify right side
    55,761x = 1,365,236,879.33
  5. Step 5: Solve for x
    x = 1,365,236,879.33/55,761
  6. Step 6: Final answer
    x = 24,483.72

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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.