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Finding the Fourth Proportional to 29,575, 40,820.43 and 19,505.26

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Solution

The fourth proportional to 29,575, 40,820.43 and 19,505.26 is: 26,921.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,575 : 40,820.43 = 19,505.26 : x
  2. Step 2: Convert to fraction form
    29,575/40,820.43 = 19,505.26/x
  3. Step 3: Cross multiply
    29,575x = 40,820.43 × 19,505.26
  4. Step 4: Simplify right side
    29,575x = 796,213,100.46
  5. Step 5: Solve for x
    x = 796,213,100.46/29,575
  6. Step 6: Final answer
    x = 26,921.83

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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.