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Finding the Fourth Proportional to 65,123.92, 97,611.36 and 27,629.02

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Solution

The fourth proportional to 65,123.92, 97,611.36 and 27,629.02 is: 41,411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,123.92 : 97,611.36 = 27,629.02 : x
  2. Step 2: Convert to fraction form
    65,123.92/97,611.36 = 27,629.02/x
  3. Step 3: Cross multiply
    65,123.92x = 97,611.36 × 27,629.02
  4. Step 4: Simplify right side
    65,123.92x = 2,696,906,217.67
  5. Step 5: Solve for x
    x = 2,696,906,217.67/65,123.92
  6. Step 6: Final answer
    x = 41,411.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.