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Finding the Fourth Proportional to 32,902.10, 45,404.90 and 17,794.76

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Solution

The fourth proportional to 32,902.10, 45,404.90 and 17,794.76 is: 24,556.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,902.10 : 45,404.90 = 17,794.76 : x
  2. Step 2: Convert to fraction form
    32,902.10/45,404.90 = 17,794.76/x
  3. Step 3: Cross multiply
    32,902.10x = 45,404.90 × 17,794.76
  4. Step 4: Simplify right side
    32,902.10x = 807,969,209.35
  5. Step 5: Solve for x
    x = 807,969,209.35/32,902.10
  6. Step 6: Final answer
    x = 24,556.77

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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.