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Finding the Fourth Proportional to 32,776.60, 49,164.92 and 8,152.60

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Solution

The fourth proportional to 32,776.60, 49,164.92 and 8,152.60 is: 12,228.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,776.60 : 49,164.92 = 8,152.60 : x
  2. Step 2: Convert to fraction form
    32,776.60/49,164.92 = 8,152.60/x
  3. Step 3: Cross multiply
    32,776.60x = 49,164.92 × 8,152.60
  4. Step 4: Simplify right side
    32,776.60x = 400,821,886.03
  5. Step 5: Solve for x
    x = 400,821,886.03/32,776.60
  6. Step 6: Final answer
    x = 12,228.90

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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.