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Finding the Fourth Proportional to 55,192, 76,164.96 and 30,041.68

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Solution

The fourth proportional to 55,192, 76,164.96 and 30,041.68 is: 41,457.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,192 : 76,164.96 = 30,041.68 : x
  2. Step 2: Convert to fraction form
    55,192/76,164.96 = 30,041.68/x
  3. Step 3: Cross multiply
    55,192x = 76,164.96 × 30,041.68
  4. Step 4: Simplify right side
    55,192x = 2,288,123,355.53
  5. Step 5: Solve for x
    x = 2,288,123,355.53/55,192
  6. Step 6: Final answer
    x = 41,457.52

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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.