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Finding the Fourth Proportional to 71,153.76, 106,733.52 and 26,775.84

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Solution

The fourth proportional to 71,153.76, 106,733.52 and 26,775.84 is: 40,164.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,153.76 : 106,733.52 = 26,775.84 : x
  2. Step 2: Convert to fraction form
    71,153.76/106,733.52 = 26,775.84/x
  3. Step 3: Cross multiply
    71,153.76x = 106,733.52 × 26,775.84
  4. Step 4: Simplify right side
    71,153.76x = 2,857,879,654.16
  5. Step 5: Solve for x
    x = 2,857,879,654.16/71,153.76
  6. Step 6: Final answer
    x = 40,164.84

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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.