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Finding the Fourth Proportional to 35,481, 48,964.11 and 19,566

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Solution

The fourth proportional to 35,481, 48,964.11 and 19,566 is: 27,001.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,481 : 48,964.11 = 19,566 : x
  2. Step 2: Convert to fraction form
    35,481/48,964.11 = 19,566/x
  3. Step 3: Cross multiply
    35,481x = 48,964.11 × 19,566
  4. Step 4: Simplify right side
    35,481x = 958,031,776.26
  5. Step 5: Solve for x
    x = 958,031,776.26/35,481
  6. Step 6: Final answer
    x = 27,001.26

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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.