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Finding the Fourth Proportional to 32,157.78, 48,243.60 and 9,970.71

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Solution

The fourth proportional to 32,157.78, 48,243.60 and 9,970.71 is: 14,958.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,157.78 : 48,243.60 = 9,970.71 : x
  2. Step 2: Convert to fraction form
    32,157.78/48,243.60 = 9,970.71/x
  3. Step 3: Cross multiply
    32,157.78x = 48,243.60 × 9,970.71
  4. Step 4: Simplify right side
    32,157.78x = 481,022,944.96
  5. Step 5: Solve for x
    x = 481,022,944.96/32,157.78
  6. Step 6: Final answer
    x = 14,958.21

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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.