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Finding the Fourth Proportional to 29,476, 40,711.44 and 19,522.72

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Solution

The fourth proportional to 29,476, 40,711.44 and 19,522.72 is: 26,964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,476 : 40,711.44 = 19,522.72 : x
  2. Step 2: Convert to fraction form
    29,476/40,711.44 = 19,522.72/x
  3. Step 3: Cross multiply
    29,476x = 40,711.44 × 19,522.72
  4. Step 4: Simplify right side
    29,476x = 794,798,043.92
  5. Step 5: Solve for x
    x = 794,798,043.92/29,476
  6. Step 6: Final answer
    x = 26,964.24

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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.