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Finding the Fourth Proportional to 29,426.44, 40,617.38 and 20,000.47

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Solution

The fourth proportional to 29,426.44, 40,617.38 and 20,000.47 is: 27,606.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,426.44 : 40,617.38 = 20,000.47 : x
  2. Step 2: Convert to fraction form
    29,426.44/40,617.38 = 20,000.47/x
  3. Step 3: Cross multiply
    29,426.44x = 40,617.38 × 20,000.47
  4. Step 4: Simplify right side
    29,426.44x = 812,366,690.17
  5. Step 5: Solve for x
    x = 812,366,690.17/29,426.44
  6. Step 6: Final answer
    x = 27,606.69

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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.