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Finding the Fourth Proportional to 32,157.76, 48,237.60 and 12,162.88

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Solution

The fourth proportional to 32,157.76, 48,237.60 and 12,162.88 is: 18,244.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,157.76 : 48,237.60 = 12,162.88 : x
  2. Step 2: Convert to fraction form
    32,157.76/48,237.60 = 12,162.88/x
  3. Step 3: Cross multiply
    32,157.76x = 48,237.60 × 12,162.88
  4. Step 4: Simplify right side
    32,157.76x = 586,708,140.29
  5. Step 5: Solve for x
    x = 586,708,140.29/32,157.76
  6. Step 6: Final answer
    x = 18,244.68

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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.