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Finding the Fourth Proportional to 71,164.74, 106,664.93 and 26,763.15

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Solution

The fourth proportional to 71,164.74, 106,664.93 and 26,763.15 is: 40,113.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,164.74 : 106,664.93 = 26,763.15 : x
  2. Step 2: Convert to fraction form
    71,164.74/106,664.93 = 26,763.15/x
  3. Step 3: Cross multiply
    71,164.74x = 106,664.93 × 26,763.15
  4. Step 4: Simplify right side
    71,164.74x = 2,854,689,387.51
  5. Step 5: Solve for x
    x = 2,854,689,387.51/71,164.74
  6. Step 6: Final answer
    x = 40,113.82

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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.