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Finding the Fourth Proportional to 34,614, 47,768.28 and 19,506.48

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Solution

The fourth proportional to 34,614, 47,768.28 and 19,506.48 is: 26,919.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,614 : 47,768.28 = 19,506.48 : x
  2. Step 2: Convert to fraction form
    34,614/47,768.28 = 19,506.48/x
  3. Step 3: Cross multiply
    34,614x = 47,768.28 × 19,506.48
  4. Step 4: Simplify right side
    34,614x = 931,790,998.45
  5. Step 5: Solve for x
    x = 931,790,998.45/34,614
  6. Step 6: Final answer
    x = 26,919.48

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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.