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Finding the Fourth Proportional to 32,906.65, 45,411.57 and 19,982.26

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Solution

The fourth proportional to 32,906.65, 45,411.57 and 19,982.26 is: 27,575.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,906.65 : 45,411.57 = 19,982.26 : x
  2. Step 2: Convert to fraction form
    32,906.65/45,411.57 = 19,982.26/x
  3. Step 3: Cross multiply
    32,906.65x = 45,411.57 × 19,982.26
  4. Step 4: Simplify right side
    32,906.65x = 907,425,798.75
  5. Step 5: Solve for x
    x = 907,425,798.75/32,906.65
  6. Step 6: Final answer
    x = 27,575.76

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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.