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Finding the Fourth Proportional to 32,684.01, 49,023.17 and 20,205.96

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Solution

The fourth proportional to 32,684.01, 49,023.17 and 20,205.96 is: 30,307.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,684.01 : 49,023.17 = 20,205.96 : x
  2. Step 2: Convert to fraction form
    32,684.01/49,023.17 = 20,205.96/x
  3. Step 3: Cross multiply
    32,684.01x = 49,023.17 × 20,205.96
  4. Step 4: Simplify right side
    32,684.01x = 990,560,111.06
  5. Step 5: Solve for x
    x = 990,560,111.06/32,684.01
  6. Step 6: Final answer
    x = 30,307.18

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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.