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Finding the Fourth Proportional to 55,171, 76,136.34 and 30,020.68

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Solution

The fourth proportional to 55,171, 76,136.34 and 30,020.68 is: 41,428.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,171 : 76,136.34 = 30,020.68 : x
  2. Step 2: Convert to fraction form
    55,171/76,136.34 = 30,020.68/x
  3. Step 3: Cross multiply
    55,171x = 76,136.34 × 30,020.68
  4. Step 4: Simplify right side
    55,171x = 2,285,664,699.51
  5. Step 5: Solve for x
    x = 2,285,664,699.51/55,171
  6. Step 6: Final answer
    x = 41,428.73

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1.5x scale

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.