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Finding the Fourth Proportional to 23,691.90, 32,594.22 and 23,035.80

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Solution

The fourth proportional to 23,691.90, 32,594.22 and 23,035.80 is: 31,691.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,691.90 : 32,594.22 = 23,035.80 : x
  2. Step 2: Convert to fraction form
    23,691.90/32,594.22 = 23,035.80/x
  3. Step 3: Cross multiply
    23,691.90x = 32,594.22 × 23,035.80
  4. Step 4: Simplify right side
    23,691.90x = 750,833,933.08
  5. Step 5: Solve for x
    x = 750,833,933.08/23,691.90
  6. Step 6: Final answer
    x = 31,691.59

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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.