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Finding the Fourth Proportional to 71,116.80, 106,676.82 and 24,369

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Solution

The fourth proportional to 71,116.80, 106,676.82 and 24,369 is: 36,554.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,116.80 : 106,676.82 = 24,369 : x
  2. Step 2: Convert to fraction form
    71,116.80/106,676.82 = 24,369/x
  3. Step 3: Cross multiply
    71,116.80x = 106,676.82 × 24,369
  4. Step 4: Simplify right side
    71,116.80x = 2,599,607,426.58
  5. Step 5: Solve for x
    x = 2,599,607,426.58/71,116.80
  6. Step 6: Final answer
    x = 36,554.06

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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.