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Finding the Fourth Proportional to 97,696.94, 134,757.66 and 77,521.82

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Solution

The fourth proportional to 97,696.94, 134,757.66 and 77,521.82 is: 106,929.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,696.94 : 134,757.66 = 77,521.82 : x
  2. Step 2: Convert to fraction form
    97,696.94/134,757.66 = 77,521.82/x
  3. Step 3: Cross multiply
    97,696.94x = 134,757.66 × 77,521.82
  4. Step 4: Simplify right side
    97,696.94x = 10,446,659,062.14
  5. Step 5: Solve for x
    x = 10,446,659,062.14/97,696.94
  6. Step 6: Final answer
    x = 106,929.24

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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.