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Finding the Fourth Proportional to 32,467.80, 48,703.54 and 9,096.06

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Solution

The fourth proportional to 32,467.80, 48,703.54 and 9,096.06 is: 13,644.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,467.80 : 48,703.54 = 9,096.06 : x
  2. Step 2: Convert to fraction form
    32,467.80/48,703.54 = 9,096.06/x
  3. Step 3: Cross multiply
    32,467.80x = 48,703.54 × 9,096.06
  4. Step 4: Simplify right side
    32,467.80x = 443,010,322.05
  5. Step 5: Solve for x
    x = 443,010,322.05/32,467.80
  6. Step 6: Final answer
    x = 13,644.61

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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.