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Finding the Fourth Proportional to 97,093.14, 145,640.02 and 33,912.78

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Solution

The fourth proportional to 97,093.14, 145,640.02 and 33,912.78 is: 50,869.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,093.14 : 145,640.02 = 33,912.78 : x
  2. Step 2: Convert to fraction form
    97,093.14/145,640.02 = 33,912.78/x
  3. Step 3: Cross multiply
    97,093.14x = 145,640.02 × 33,912.78
  4. Step 4: Simplify right side
    97,093.14x = 4,939,057,957.46
  5. Step 5: Solve for x
    x = 4,939,057,957.46/97,093.14
  6. Step 6: Final answer
    x = 50,869.28

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1.5x scale

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.