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Finding the Fourth Proportional to 32,655.68, 48,976.08 and 9,276.32

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Solution

The fourth proportional to 32,655.68, 48,976.08 and 9,276.32 is: 13,912.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,655.68 : 48,976.08 = 9,276.32 : x
  2. Step 2: Convert to fraction form
    32,655.68/48,976.08 = 9,276.32/x
  3. Step 3: Cross multiply
    32,655.68x = 48,976.08 × 9,276.32
  4. Step 4: Simplify right side
    32,655.68x = 454,317,790.43
  5. Step 5: Solve for x
    x = 454,317,790.43/32,655.68
  6. Step 6: Final answer
    x = 13,912.37

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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.