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Finding the Fourth Proportional to 97,696.46, 134,846.46 and 55,279.60

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Solution

The fourth proportional to 97,696.46, 134,846.46 and 55,279.60 is: 76,300.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,696.46 : 134,846.46 = 55,279.60 : x
  2. Step 2: Convert to fraction form
    97,696.46/134,846.46 = 55,279.60/x
  3. Step 3: Cross multiply
    97,696.46x = 134,846.46 × 55,279.60
  4. Step 4: Simplify right side
    97,696.46x = 7,454,257,419.59
  5. Step 5: Solve for x
    x = 7,454,257,419.59/97,696.46
  6. Step 6: Final answer
    x = 76,300.18

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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.