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Finding the Fourth Proportional to 77,134.55, 106,414.34 and 50,267.25

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Solution

The fourth proportional to 77,134.55, 106,414.34 and 50,267.25 is: 69,348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,134.55 : 106,414.34 = 50,267.25 : x
  2. Step 2: Convert to fraction form
    77,134.55/106,414.34 = 50,267.25/x
  3. Step 3: Cross multiply
    77,134.55x = 106,414.34 × 50,267.25
  4. Step 4: Simplify right side
    77,134.55x = 5,349,155,981.03
  5. Step 5: Solve for x
    x = 5,349,155,981.03/77,134.55
  6. Step 6: Final answer
    x = 69,348.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.