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Finding the Fourth Proportional to 29,575.50, 40,821.12 and 19,505.76

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Solution

The fourth proportional to 29,575.50, 40,821.12 and 19,505.76 is: 26,922.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,575.50 : 40,821.12 = 19,505.76 : x
  2. Step 2: Convert to fraction form
    29,575.50/40,821.12 = 19,505.76/x
  3. Step 3: Cross multiply
    29,575.50x = 40,821.12 × 19,505.76
  4. Step 4: Simplify right side
    29,575.50x = 796,246,969.65
  5. Step 5: Solve for x
    x = 796,246,969.65/29,575.50
  6. Step 6: Final answer
    x = 26,922.52

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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.