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Finding the Fourth Proportional to 38,189.84, 57,284.70 and 20,693.84

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Solution

The fourth proportional to 38,189.84, 57,284.70 and 20,693.84 is: 31,040.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,189.84 : 57,284.70 = 20,693.84 : x
  2. Step 2: Convert to fraction form
    38,189.84/57,284.70 = 20,693.84/x
  3. Step 3: Cross multiply
    38,189.84x = 57,284.70 × 20,693.84
  4. Step 4: Simplify right side
    38,189.84x = 1,185,440,416.25
  5. Step 5: Solve for x
    x = 1,185,440,416.25/38,189.84
  6. Step 6: Final answer
    x = 31,040.73

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1.5x scale

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.