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Finding the Fourth Proportional to 71,165.49, 106,666.05 and 26,763.90

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Solution

The fourth proportional to 71,165.49, 106,666.05 and 26,763.90 is: 40,114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,165.49 : 106,666.05 = 26,763.90 : x
  2. Step 2: Convert to fraction form
    71,165.49/106,666.05 = 26,763.90/x
  3. Step 3: Cross multiply
    71,165.49x = 106,666.05 × 26,763.90
  4. Step 4: Simplify right side
    71,165.49x = 2,854,799,495.60
  5. Step 5: Solve for x
    x = 2,854,799,495.60/71,165.49
  6. Step 6: Final answer
    x = 40,114.94

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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.