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Finding the Fourth Proportional to 97,716.84, 134,846.85 and 54,696.90

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Solution

The fourth proportional to 97,716.84, 134,846.85 and 54,696.90 is: 75,480.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,716.84 : 134,846.85 = 54,696.90 : x
  2. Step 2: Convert to fraction form
    97,716.84/134,846.85 = 54,696.90/x
  3. Step 3: Cross multiply
    97,716.84x = 134,846.85 × 54,696.90
  4. Step 4: Simplify right side
    97,716.84x = 7,375,704,669.77
  5. Step 5: Solve for x
    x = 7,375,704,669.77/97,716.84
  6. Step 6: Final answer
    x = 75,480.38

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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.