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Finding the Fourth Proportional to 47,892.84, 71,839.29 and 19,782.01

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Solution

The fourth proportional to 47,892.84, 71,839.29 and 19,782.01 is: 29,673.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,892.84 : 71,839.29 = 19,782.01 : x
  2. Step 2: Convert to fraction form
    47,892.84/71,839.29 = 19,782.01/x
  3. Step 3: Cross multiply
    47,892.84x = 71,839.29 × 19,782.01
  4. Step 4: Simplify right side
    47,892.84x = 1,421,125,553.17
  5. Step 5: Solve for x
    x = 1,421,125,553.17/47,892.84
  6. Step 6: Final answer
    x = 29,673.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.