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Finding the Fourth Proportional to 97,696.73, 134,823.90 and 54,675.88

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Solution

The fourth proportional to 97,696.73, 134,823.90 and 54,675.88 is: 75,454.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,696.73 : 134,823.90 = 54,675.88 : x
  2. Step 2: Convert to fraction form
    97,696.73/134,823.90 = 54,675.88/x
  3. Step 3: Cross multiply
    97,696.73x = 134,823.90 × 54,675.88
  4. Step 4: Simplify right side
    97,696.73x = 7,371,616,003.89
  5. Step 5: Solve for x
    x = 7,371,616,003.89/97,696.73
  6. Step 6: Final answer
    x = 75,454.07

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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.