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Finding the Fourth Proportional to 32,982.42, 49,473.63 and 14,514.42

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Solution

The fourth proportional to 32,982.42, 49,473.63 and 14,514.42 is: 21,771.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,982.42 : 49,473.63 = 14,514.42 : x
  2. Step 2: Convert to fraction form
    32,982.42/49,473.63 = 14,514.42/x
  3. Step 3: Cross multiply
    32,982.42x = 49,473.63 × 14,514.42
  4. Step 4: Simplify right side
    32,982.42x = 718,081,284.70
  5. Step 5: Solve for x
    x = 718,081,284.70/32,982.42
  6. Step 6: Final answer
    x = 21,771.63

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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.