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Finding the Fourth Proportional to 32,152.92, 48,226.60 and 9,965.80

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Solution

The fourth proportional to 32,152.92, 48,226.60 and 9,965.80 is: 14,947.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,152.92 : 48,226.60 = 9,965.80 : x
  2. Step 2: Convert to fraction form
    32,152.92/48,226.60 = 9,965.80/x
  3. Step 3: Cross multiply
    32,152.92x = 48,226.60 × 9,965.80
  4. Step 4: Simplify right side
    32,152.92x = 480,616,650.28
  5. Step 5: Solve for x
    x = 480,616,650.28/32,152.92
  6. Step 6: Final answer
    x = 14,947.84

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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.