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Finding the Fourth Proportional to 32,684.48, 45,104.16 and 17,780.48

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Solution

The fourth proportional to 32,684.48, 45,104.16 and 17,780.48 is: 24,536.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,684.48 : 45,104.16 = 17,780.48 : x
  2. Step 2: Convert to fraction form
    32,684.48/45,104.16 = 17,780.48/x
  3. Step 3: Cross multiply
    32,684.48x = 45,104.16 × 17,780.48
  4. Step 4: Simplify right side
    32,684.48x = 801,973,614.80
  5. Step 5: Solve for x
    x = 801,973,614.80/32,684.48
  6. Step 6: Final answer
    x = 24,536.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.