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Finding the Fourth Proportional to 120,647.44, 180,971.16 and 37,524.88

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Solution

The fourth proportional to 120,647.44, 180,971.16 and 37,524.88 is: 56,287.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,647.44 : 180,971.16 = 37,524.88 : x
  2. Step 2: Convert to fraction form
    120,647.44/180,971.16 = 37,524.88/x
  3. Step 3: Cross multiply
    120,647.44x = 180,971.16 × 37,524.88
  4. Step 4: Simplify right side
    120,647.44x = 6,790,921,062.46
  5. Step 5: Solve for x
    x = 6,790,921,062.46/120,647.44
  6. Step 6: Final answer
    x = 56,287.32

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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.