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Finding the Fourth Proportional to 37,751.68, 52,096.80 and 20,984.32

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Solution

The fourth proportional to 37,751.68, 52,096.80 and 20,984.32 is: 28,958.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,751.68 : 52,096.80 = 20,984.32 : x
  2. Step 2: Convert to fraction form
    37,751.68/52,096.80 = 20,984.32/x
  3. Step 3: Cross multiply
    37,751.68x = 52,096.80 × 20,984.32
  4. Step 4: Simplify right side
    37,751.68x = 1,093,215,922.18
  5. Step 5: Solve for x
    x = 1,093,215,922.18/37,751.68
  6. Step 6: Final answer
    x = 28,958.07

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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.