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Finding the Fourth Proportional to 37,027.68, 51,099 and 20,260.68

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Solution

The fourth proportional to 37,027.68, 51,099 and 20,260.68 is: 27,960.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,027.68 : 51,099 = 20,260.68 : x
  2. Step 2: Convert to fraction form
    37,027.68/51,099 = 20,260.68/x
  3. Step 3: Cross multiply
    37,027.68x = 51,099 × 20,260.68
  4. Step 4: Simplify right side
    37,027.68x = 1,035,300,487.32
  5. Step 5: Solve for x
    x = 1,035,300,487.32/37,027.68
  6. Step 6: Final answer
    x = 27,960.18

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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.