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Finding the Fourth Proportional to 32,601.60, 48,902.76 and 10,414.80

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Solution

The fourth proportional to 32,601.60, 48,902.76 and 10,414.80 is: 15,622.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,601.60 : 48,902.76 = 10,414.80 : x
  2. Step 2: Convert to fraction form
    32,601.60/48,902.76 = 10,414.80/x
  3. Step 3: Cross multiply
    32,601.60x = 48,902.76 × 10,414.80
  4. Step 4: Simplify right side
    32,601.60x = 509,312,464.85
  5. Step 5: Solve for x
    x = 509,312,464.85/32,601.60
  6. Step 6: Final answer
    x = 15,622.32

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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.