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Finding the Fourth Proportional to 30,514.80, 45,683.10 and 21,766.80

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Solution

The fourth proportional to 30,514.80, 45,683.10 and 21,766.80 is: 32,586.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,514.80 : 45,683.10 = 21,766.80 : x
  2. Step 2: Convert to fraction form
    30,514.80/45,683.10 = 21,766.80/x
  3. Step 3: Cross multiply
    30,514.80x = 45,683.10 × 21,766.80
  4. Step 4: Simplify right side
    30,514.80x = 994,374,901.08
  5. Step 5: Solve for x
    x = 994,374,901.08/30,514.80
  6. Step 6: Final answer
    x = 32,586.64

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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.