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Finding the Fourth Proportional to 32,516.44, 48,774.66 and 9,142.88

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Solution

The fourth proportional to 32,516.44, 48,774.66 and 9,142.88 is: 13,714.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,516.44 : 48,774.66 = 9,142.88 : x
  2. Step 2: Convert to fraction form
    32,516.44/48,774.66 = 9,142.88/x
  3. Step 3: Cross multiply
    32,516.44x = 48,774.66 × 9,142.88
  4. Step 4: Simplify right side
    32,516.44x = 445,940,585.26
  5. Step 5: Solve for x
    x = 445,940,585.26/32,516.44
  6. Step 6: Final answer
    x = 13,714.31

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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.