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Finding the Fourth Proportional to 37,641.80, 56,462.70 and 20,102.60

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Solution

The fourth proportional to 37,641.80, 56,462.70 and 20,102.60 is: 30,153.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,641.80 : 56,462.70 = 20,102.60 : x
  2. Step 2: Convert to fraction form
    37,641.80/56,462.70 = 20,102.60/x
  3. Step 3: Cross multiply
    37,641.80x = 56,462.70 × 20,102.60
  4. Step 4: Simplify right side
    37,641.80x = 1,135,047,073.02
  5. Step 5: Solve for x
    x = 1,135,047,073.02/37,641.80
  6. Step 6: Final answer
    x = 30,153.90

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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.