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Finding the Fourth Proportional to 32,687.82, 49,031.46 and 9,314.33

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Solution

The fourth proportional to 32,687.82, 49,031.46 and 9,314.33 is: 13,971.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,687.82 : 49,031.46 = 9,314.33 : x
  2. Step 2: Convert to fraction form
    32,687.82/49,031.46 = 9,314.33/x
  3. Step 3: Cross multiply
    32,687.82x = 49,031.46 × 9,314.33
  4. Step 4: Simplify right side
    32,687.82x = 456,694,953.66
  5. Step 5: Solve for x
    x = 456,694,953.66/32,687.82
  6. Step 6: Final answer
    x = 13,971.41

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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.