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Finding the Fourth Proportional to 32,157, 48,218.28 and 9,964.44

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Solution

The fourth proportional to 32,157, 48,218.28 and 9,964.44 is: 14,941.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,157 : 48,218.28 = 9,964.44 : x
  2. Step 2: Convert to fraction form
    32,157/48,218.28 = 9,964.44/x
  3. Step 3: Cross multiply
    32,157x = 48,218.28 × 9,964.44
  4. Step 4: Simplify right side
    32,157x = 480,468,157.96
  5. Step 5: Solve for x
    x = 480,468,157.96/32,157
  6. Step 6: Final answer
    x = 14,941.32

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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.