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Finding the Fourth Proportional to 103,614, 155,447.10 and 29,742

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Solution

The fourth proportional to 103,614, 155,447.10 and 29,742 is: 44,620.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,614 : 155,447.10 = 29,742 : x
  2. Step 2: Convert to fraction form
    103,614/155,447.10 = 29,742/x
  3. Step 3: Cross multiply
    103,614x = 155,447.10 × 29,742
  4. Step 4: Simplify right side
    103,614x = 4,623,307,648.20
  5. Step 5: Solve for x
    x = 4,623,307,648.20/103,614
  6. Step 6: Final answer
    x = 44,620.49

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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.